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SPIRES-BOOKS: FIND KEYWORD LINEAR AND MULTILINEAR ALGEBRAS,MATRIX THEORY *END*INIT* use /tmp/qspiwww.webspi1/4459.57 QRY 131.225.70.96 . find keyword linear and multilinear algebras,matrix theory ( in books using www Cover
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Call number:9783319463100:ONLINE Show nearby items on shelf
Title:Mathematics Across Contemporary Sciences AUS-ICMS, Sharjah, UAE, April 2015
Author(s):
Date:2017
Size:1 online resource (X, 259 p. 22 illus., 5 illus. in color p.)
Contents:1 Samirah Alsulami, Hellen Colman and Frank Neumann: The Lusternik-Schnirelmann Category for a Differentiable Stack -- 2 Richard A. Brualdi and Shi-Mei Ma: Centrosymmetric, Symmetric and Hankel-Symmetric Matrices -- 3 Costanza
Catalano and Alberto Gandolfi: Partially Independent Random Variables -- 4 Dmitry Efimov and Hana Sulieman: Sobol Sensitivity for Machine Learning -- 5 Jon Pierre Fortney: Basis Independence of Implicitly Defined Hamiltonian Circuit
Dynamics -- 6 Hichem Hajaeij: On a New Class of Variational Problems -- 7 A. Samad Hedayat: A Scientific Tour on Orthogonal Arrays -- 8 Hadi Kharaghani and Sho Suda: Hoffman’s Coclique Bound for Normal Regular Diagraphs and
Nonsymmetric Association Schemes -- 9 Salim A. Messaoudi and Soh Edwin Mukiawa: A Suspension Bridge Problem: Existence and Stability -- 10 Greg Orosi: An Interpolation-Based Approach to American Put Option Pricing -- 11 Inès Saihi:
Stable Homotopy Groups of Moore Spaces -- 12 Minjia Shi, Yiping Zhang and Patrick Solé: Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes -- 13 Linda Smail and Zineb Azouz: Factorization of Computations in Bayesian Networks:
Interpretation of Factors -- 14 Abessamad Tridane, Mohamed Ali Hajji and Eduardo Mojica-Nava: Optimal Drug Treatment in a Simple Pandemic Switched System -- 15 Thomas Wunderli: On Carathéodory quasilinear functionals for BV functions
and their time flows for a dual H^1 penalty model for image restoration
ISBN:9783319463100
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Linear and Multilinear Algebras, Matrix Theory , Analysis
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Call number:9783319428130:ONLINE Show nearby items on shelf
Title:Positive Operator Semigroups From Finite to Infinite Dimensions
Author(s): András Bátkai
Date:2017
Size:1 online resource (XVIII, 364 p p.)
Contents:1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8
Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An
application to linear transport equations -- Appendices -- Index
ISBN:9783319428130
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Matrix theory , Algebra , Operator theory , Mathematics , Operator Theory , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2016-9783319318424:ONLINE Show nearby items on shelf
Title:Hasse-Schmidt Derivations on Grassmann Algebras With Applications to Vertex Operators
Author(s): Letterio Gatto
Date:2016
Size:1 online resource (195 p.)
Note:10.1007/978-3-319-31842-4
Contents:Prologue -- Generic Linear Recurrence Sequences -- Algebras and Derivations -- Hasse-Schmidt Derivations on Exterior Algebras -- Schubert Derivations -- Decomposable Tensors in Exterior Powers -- Vertex Operators via Generic LRS -- Index
ISBN:9783319318424
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:IMPA Monographs : 4
Keywords: Mathematics , Matrix theory , Algebra , Operator theory , Differential equations , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Ordinary Differential Equations , Operator Theory
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Call number:SPRINGER-2016-9783319301808:ONLINE Show nearby items on shelf
Title:Infinite Matrices and Their Recent Applications
Author(s): P.N Shivakumar
Date:2016
Size:1 online resource (118 p.)
Note:10.1007/978-3-319-30180-8
Contents:Introduction -- Finite Matrices and their Nonsingularity -- Infinite Linear Equations -- Generalized Inverses: Real or Complex Field -- Generalized Inverses: Quaternions -- M-matrices over Infinite Dimensional Spaces -- Infinite Linear Programming -- Applications.
ISBN:9783319301808
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Mathematics , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2016-9783319284835:ONLINE Show nearby items on shelf
Title:Iterative Solution of Large Sparse Systems of Equations
Author(s): Wolfgang Hackbusch
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (11 p.)
Note:10.1007/978-3-319-28483-5
Contents:Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Posit ive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Dom ain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices
ISBN:9783319284835
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 95
Keywords: Mathematics , Matrix theory , Algebra , Partial differential equations , Numerical analysis , Mathematics , Numerical Analysis , Linear and Multilinear Algebras, Matrix Theory , Partial Differential Equations
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Call number:SPRINGER-2004-9783662058008:ONLINE Show nearby items on shelf
Title:Applied Mathematics: Body and Soul Calculus in Several Dimensions
Author(s): Kenneth Eriksson
Date:2004
Size:1 online resource (426 p.)
Note:10.1007/978-3-662-05800-8
Contents:54. Vector-Valued Functions of Several Real Variables -- 55. Level Curves/Surfaces and the Gradient -- 56. Linearization and Stability of Initial Value Problems -- 57. Adaptive Solvers of Initial Value Problems -- 58. Lorenz and the
Essence of Chaos -- 59. Optimization -- 60. The Divergence, Rotation and Laplacian -- 61. Meteorology and Coriolis Forces -- 62. Curve Integrals -- 63. Double Integrals -- 64. Surface Integrals -- 65. Multiple Integrals -- 66. Gauss'
Theorem and Green's Formula in R2 -- 67. Gauss' Theorem and Green's Formula in R3 -- 68. Stokes' Theorem -- 69. Potential Fields -- 70. Center of Mass and Archimedes' Principle -- 71. Newton's Nightmare -- 72. Laplacian Models -- 73.
Chemical Reactions -- 74. Calculus Tool Bag II -- 75. Piecewise Linears in R2 and R3 -- 76. FEM for Boundary Value Problems in R2 and R3 -- 77. Inverse Problems -- 78. Differential Equations Tool Bag -- 79. Applications Tool Bag -- 80.
Analytic Functions -- 81. Fourier Series -- 82. Fourier Transforms -- 83. Incompressible Navier-Stokes: Quick and Easy -- 84. Fourier Analysis Tool Bag -- 85. Analytic Functions Tool Bag II -- Index
ISBN:9783662058008
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemometrics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Analysis , Linear and Multilinear Algebras, Matrix Theory , Computational Mathematics and Numerical Analysis , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783662057988:ONLINE Show nearby items on shelf
Title:Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn
Author(s): Kenneth Eriksson
Date:2004
Size:1 online resource (352 p.)
Note:10.1007/978-3-662-05798-8
Contents:Volume 2 -- 27 The Integral -- 28 Properties of the Integral -- 29 The Logarithm log(x) -- 30 Numerical Quadrature -- 31 The Exponential Function exp(x) = ex -- 32 Trigonometric Functions -- 33 The Functions exp(z), log(z), sin(z) and
cos(z) forz ? ? -- 34 Techniques of Integration -- 35 Solving Differential Equations Using the Exponential -- 36 Improper Integrals -- 37 Series -- 38 Scalar Autonomous Initial Value Problems -- 39 Separable Scalar Initial Value
Problems -- 40 The General Initial Value Problem -- 41 Calculus Tool Bag I -- 42 Analytic Geometry in ?n -- 43 The Spectral Theorem -- 44 Solving Linear Algebraic Systems -- 45 Linear Algebra Tool Bag -- 46 The Matrix Exponential
exp(xA) -- 47 Lagrange and the Principle of Least Action* -- 48 N-Body Systems* -- 49 The Crash Model* -- 50 Electrical Circuits* -- 51 String Theory* -- 52 Piecewise Linear Approximation -- 53 FEM for Two-Point Boundary Value Problems
-- References
ISBN:9783662057988
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemometrics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Analysis , Linear and Multilinear Algebras, Matrix Theory , Computational Mathematics and Numerical Analysis , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783662057964:ONLINE Show nearby items on shelf
Title:Applied Mathematics: Body and Soul Volume 1: Derivatives and Geometry in IR3
Author(s): Kenneth Eriksson
Date:2004
Size:1 online resource (428 p.)
Note:10.1007/978-3-662-05796-4
Contents:Volume 1 -- 1 What is Mathematics? -- 2 The Mathematics Laboratory -- 3 Introduction to Modeling -- 4 A Very Short Calculus Course -- 5 Natural Numbers and Integers -- 6 Mathematical Induction -- 7 Rational Numbers -- 8 Pythagoras and
Euclid -- 9 What is a Function? -- 10 Polynomial functions -- 11 Combinations of functions -- 12 Lipschitz Continuity -- 13 Sequences and limits -- 14 The Square Root of Two -- 15 Real numbers -- 16 The Bisection Algorithm for f (x) =
0 -- 17 Do Mathematicians Quarrel?* -- 18 The Function y = xr -- 19 Fixed Points and Contraction Mappings -- 20 Analytic Geometry in ?2 -- 21 Analytic Geometry in ?3 -- 22 Complex Numbers -- 23 The Derivative -- 24 Differentiation
Rules -- 25 Newton’s Method -- 26 Galileo, Newton, Hooke, Malthus and Fourier -- References
ISBN:9783662057964
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemometrics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Analysis , Linear and Multilinear Algebras, Matrix Theory , Computational Mathematics and Numerical Analysis , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9781475739497:ONLINE Show nearby items on shelf
Title:Differential Equations An Introduction with Mathematica®
Author(s): Clay C Ross
Date:2004
Edition:Second Edition
Size:1 online resource (434 p.)
Note:10.1007/978-1-4757-3949-7
Contents:1 About Differential Equations -- 2 Linear Algebra -- 3 First-Order Differential Equations -- 4 Applications of First-Order Equations -- 5 Higher-Order Linear Differential Equations -- 6 Applications of Second-Order Equations -- 7 The
Laplace Transform -- 8 Higher-Order Differential Equations with Variable Coefficients -- 9 Differential Systems: Theory -- 10 Differential Systems: Applications -- References
ISBN:9781475739497
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Differential equations , Computer mathematics , Computer software , Applied mathematics , Engineering mathematics , Mathematics , Ordinary Differential Equations , Linear and Multilinear Algebras, Matrix Theory , Analysis , Computational Mathematics and Numerical Analysis , Mathematical Software , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2004-9781441991805:ONLINE Show nearby items on shelf
Title:Projectors and Projection Methods
Author(s): Aurél Galántai
Date:2004
Size:1 online resource (288 p.)
Note:10.1007/978-1-4419-9180-5
ISBN:9781441991805
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Advances in Mathematics : 6
Keywords: Mathematics , Numerical analysis , Matrix theory , Algebra , Functional analysis , Algorithms , Mathematical optimization , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Numeric Computing , Algorithms , Optimization , Functional Analysis
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Call number:SPRINGER-2004-9780817681944:ONLINE Show nearby items on shelf
Title:Linear Algebra
Author(s): Jin Ho Kwak
Date:2004
Edition:Second Edition
Size:1 online resource (390 p.)
Note:10.1007/978-0-8176-8194-4
Contents:1 Linear Equations and Matrices -- 1.1 Systems of linear equations -- 1.2 Gaussian elimination -- 1.3 Sums and scalar multiplications of matrices -- 1.4 Products of matrices -- 1.5 Block matrices -- 1.6 Inverse matrices -- 1.7
Elementary matrices and finding A?1 -- 1.8 LDU factorization -- 1.9 Applications -- 1.10 Exercises -- 2 Determinants -- 2.1 Basic properties of the determinant -- 2.2 Existence and uniqueness of the determinant -- 2.3 Cofactor
expansion -- 2.4 Cramer’s rule -- 2.5 Applications -- 2.6 Exercises -- 3 Vector Spaces -- 3.1 The n-space ?n and vector spaces -- 3.2 Subspaces -- 3.3 Bases -- 3.4 Dimensions -- 3.5 Row and column spaces -- 3.6 Rank and nullity -- 3.7
Bases for subspaces -- 3.8 Invertibility -- 3.9 Applications -- 3.10 Exercises> -- 4 Linear Transformations -- 4.1 Basic propertiesof linear transformations -- 4.2 Invertiblelinear transformations -- 4.3 Matrices of linear
transformations -- 4.4 Vector spaces of linear transformations -- 4.5 Change of bases -- 4.6 Similarity -- 4.7. Applications -- 4.8 Exercises -- 5 Inner Product Spaces -- 5.1 Dot products and inner products -- 5.2 The lengths and
angles of vectors -- 5.3 Matrix representations of inner products -- 5.4 Gram-Schmidt orthogonalization -- 5.5 Projections -- 5.6 Orthogonal projections -- 5.7 Relations of fundamental subspaces -- 5.8 Orthogonal matrices and
isometries -- 5.9 Applications -- 5.10 Exercises -- 6 Diagonalization -- 6.1 Eigenvalues and eigenvectors -- 6.2 Diagonalization of matrices -- 6.3 Applications -- 6.4 Exponential matrices -- 6.5 Applications continued -- 6.6
Diagonalization of linear transformations -- 6.7 Exercises -- 7 Complex Vector Spaces -- 7.1 The n-space ?n and complex vector spaces -- 7.2 Hermitian and unitary matrices -- 7.3 Unitarily diagonalizable matrices -- 7.4 Normal matrices
-- 7.5 Application -- 7.6 Exercises -- 8 Jordan Canonical Forms -- 8.1 Basic properties of Jordan canonical forms -- 8.2 Generalized eigenvectors -- 8.3 The power Ak and the exponential eA -- 8.4 Cayley-Hamilton theorem -- 8.5 The
minimal polynomial of a matrix> -- 8.6 Applications -- 8.7 Exercises -- 9 Quadratic Forms -- 9.1 Basic properties of quadratic forms -- 9.2 Diagonalization of quadratic forms -- 9.3 A classification of level surfaces -- 9.4
Characterizations of definite forms -- 9.5 Congruence relation -- 9.6 Bilinear and Hermitian forms -- 9.7 Diagonalization of bilinear or Hermitian forms -- 9.8 Applications -- 9.9 Exercises -- Selected Answers and Hints
ISBN:9780817681944
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Algebra , Matrix theory , Applied mathematics , Engineering mathematics , Economic theory , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory , Mathematics of Computing , Math Applications in Computer Science , Appl.Mathematics/Computational Methods of Engineering , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-2004-9780817681661:ONLINE Show nearby items on shelf
Title:Analysis of Dirac Systems and Computational Algebra
Author(s): Fabrizio Colombo
Date:2004
Size:1 online resource (332 p.)
Note:10.1007/978-0-8176-8166-1
Contents:1 Background Material -- 1.1 Algebraic tools -- 1.2 Analytical tools -- 1.3 Elements of hyperfunction theory -- 1.4 Appendix: category theory -- 2 Computational Algebraic Analysis -- 2.1 A primer of algebraic analysis -- 2.2 The
Ehrenpreis-Palamodov Fundamental Principle -- 2.3 The Fundamental Principle for hyperfunctions -- 2.4 Using computational algebra software -- 3 The Cauchy-Fueter System and its Variations -- 3.1 Regular functions of one quaternionic
variable -- 3.2 Quaternionic hyperfunctions in one variable -- 3.3 Several quaternionic variables: analytic approach -- 3.4 Several quaternionic variables: an algebraic approach -- 3.5 The Moisil-Theodorescu system -- 4 Special First
Order Systems in Clifford Analysis -- 4.1 Introduction to Clifford algebras -- 4.2 Introduction to Clifford analysis -- 4.3 The Dirac complex for two, three and four operators -- 4.4 Special systems in Clifford analysis -- 5 Some First
Order Linear Operators in Physics -- 5.1 Physics and algebra of Maxwell and Proca fields -- 5.2 Variations on Maxwell system in the space of biquaternions -- 5.3 Properties of DZ-regular functions -- 5.4 The Dirac equation and the
linearization problem -- 5.5 Octonionic Dirac equation -- 6 Open Problems and Avenues for Further Research -- 6.1 The Cauchy-Fueter system -- 6.2 The Dirac system -- 6.3 Miscellanea
ISBN:9780817681661
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematical Physics : 39
Keywords: Mathematics , Algebra , Matrix theory , Partial differential equations , Physics , Mathematics , Algebra , Partial Differential Equations , Linear and Multilinear Algebras, Matrix Theory , Mathematical Methods in Physics , Numerical and Computational Physics
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Call number:SPRINGER-2003-9789401703055:ONLINE Show nearby items on shelf
Title:Coding Theory and Number Theory
Author(s): Toyokazu Hiramatsu
Date:2003
Size:1 online resource (148 p.)
Note:10.1007/978-94-017-0305-5
Contents:1. Linear Codes -- 2. Diophantine Equations and Cyclic Codes -- 3. Elliptic Curves, Hecke Operators and Weight Distribution of Codes -- 4. Algebraic-Geometric Codes and Modular Curve Codes -- 5. Theta Functions and Self-Dual Codes --
The Kloosterman Codes and Distribution of the Weights -- 1 Introduction -- 2 Melas code and Kloosterman sums -- 3 Hyper-Kloosterman code -- 4 Quasi-cyclic property -- 5 Weight distribution -- 7 A divisibility theorem for Hamming
weights -- References
ISBN:9789401703055
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 554-A
Keywords: Computer science , Coding theory , Computer science , Algebraic geometry , Matrix theory , Algebra , Number theory , Computer Science , Discrete Mathematics in Computer Science , Algebraic Geometry , Number Theory , Coding and Information Theory , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2003-9783540452256:ONLINE Show nearby items on shelf
Title:Operator Functions and Localization of Spectra
Author(s): Michael I Gil’
Date:2003
Size:1 online resource (262 p.)
Note:10.1007/b93845
Contents:Preface -- Preliminaries -- Norms of Matrix-Valued Functions -- Invertibility of Finite Matrices -- Localization of Eigenvalues of Finite Matrices -- Block Matrices and pi-triangular Matrices -- Norm Estimates for Functions --
Functions of Non-Compact Operators -- Bounded Perturbations of Nonself-Adjoint Operators -- Spectrum Localization of Nonself-Adjoint Operators -- Multiplicative Representations of Resolvents -- Relatively $P$-triangular Operators --
Relatively Compact Perturbations of Normal Operators -- Infinite Matrices in Hilbert Spaces and Differential Operators -- Integral Operators in L2 -- Operator Matrices -- Hille - Tamarkin Integral Operators -- Integral Operators in L8
-- Hille - Tamarkin Matrices -- Zeros of Entire Functions -- List of Main Symbols -- Index
ISBN:9783540452256
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1830
Keywords: Mathematics , Matrix theory , Algebra , Functions of complex variables , Integral equations , Operator theory , Mathematics , Operator Theory , Linear and Multilinear Algebras, Matrix Theory , Functions of a Complex Variable , Integral Equations
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Call number:SPRINGER-2003-9783540451525:ONLINE Show nearby items on shelf
Title:Means of Hilbert Space Operators
Author(s): Fumio Hiai
Date:2003
Size:1 online resource (156 p.)
Note:10.1007/b13213
Contents:Introduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators --
Appendices -- References -- Index
ISBN:9783540451525
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1820
Keywords: Mathematics , Matrix theory , Algebra , Functional analysis , Operator theory , Mathematics , Functional Analysis , Operator Theory , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2003-9781461302353:ONLINE Show nearby items on shelf
Title:Groups, Rings, Lie and Hopf Algebras
Author(s):
Date:2003
Size:1 online resource (241 p.)
Note:10.1007/978-1-4613-0235-3
Contents:Generalized Lie Solvability Of Associative Algebras -- Two-Sided Ideals Of Some Finite-Dimensional Algebras -- On HNN-Extensions In The Class Of Groups Of Large Odd Exponent -- Constructing Noetherian Algebras -- On Radicals Of Triple
Systems -- Some Results On Hopf Algebras Of Frobenius Type -- Polynomial Identities In Hopf Algebras: Passman’s Theorem And Its Dual -- Nilpotent Subsets Of Hopf Module Algebras -- On Hopf Algebra Extensions Arising From Semi-Direct
Products Of Groups -- An introduction to universal central extensions of Lie superalgebras -- Non-Commutative, Non-Cocommutative Semisimple Hopf Algebras -- Self-Normalization Of Free Subgroups In The Free Burnside Groups -- Root
Direct Limits Of Lie Superalgebras -- Torsion Freeness Of The Unit Group Of 1 + ?(G)?(A) -- Graded Identities And Induced Gradings On Group Algebras -- Endo - Distributive And Endo - Bezout Modules
ISBN:9781461302353
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 555
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Category theory (Mathematics) , Homological algebra , Matrix theory , Nonassociative rings , Mathematics , Algebra , Associative Rings and Algebras , Non-associative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Category Theory, Homological Algebra
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Call number:SPRINGER-2003-9780387216348:ONLINE Show nearby items on shelf
Title:Generalized Inverses Theory and Applications
Author(s): Adi Ben-Israel
Date:2003
Edition:Second Edition
Size:1 online resource (420 p.)
Note:10.1007/b97366
Contents:Preliminaries -- Existence and Construction of Generalized Inverses -- Linear Systems and Characterization of Generalized Inverses -- Minimal Properties of Generalized Inverses -- Spectral Generalized Inverses -- Generalized Inverses
of Partitioned Matrices -- A Spectral Theory for Rectangular Matrices -- Computational Aspects of Generalized Inverses -- Miscellaneous Applications -- Generalized Inverses of Linear Operators between Hilbert Spaces
ISBN:9780387216348
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Operator theory , Numerical analysis , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Operator Theory , Numerical Analysis
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Call number:SPRINGER-2002-9789401735520:ONLINE Show nearby items on shelf
Title:Total Least Squares and Errors-in-Variables Modeling Analysis, Algorithms and Applications
Author(s):
Date:2002
Size:1 online resource (398 p.)
Note:10.1007/978-94-017-3552-0
Contents:to Total Least Squares and Errors-in-Variables Modeling -- TLS and its Improvements by Semiparametric Approach -- Unifying Least Squares, Total Least Squares and Data Least Squares -- Bounds for the Least Squares Residual Using Scaled
TLS -- Recent Developments in Rank Revealing and Lanczos Methods for Total Least Squares Related Problems -- A Regularized Total Least Squares Algorithm -- The Parametric Quadratic Form Method for Solving TLS Problems with Elementwise
Weighting -- Structured Total Least Squares: Analysis, Algorithms and Applications -- Fast Structured Total Least Squares Algorithms via Exploitation of the Displacement Structure -- The Extended STLS Algorithm for Minimizing the
Extended LS Criterion -- Bayesian Smoothing for Measurement Error Problems -- On the Polynomial Measurement Error Model -- On Consistent Estimators in Nonlinear Functional EIV Models -- On Consistent Estimators in Linear and Bilinear
Multivariate Errors-in-Variables Models -- Identification of Semi-Linear Models Within an Errors-in-Variables Framework -- Cox’s Proportional Hazards Model under Covariate Measurement Error -- State-Space Estimation with Uncertain
Models -- Models for Robust Estimation and Identification -- Robust Solutions to Linear Approximation Problems Under Ellipsoidal Uncertainty -- QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems --
Neural Minor Component Analysis and TLS -- On the Structural Line Segment Model -- Model Fitting for Multiple Variables by Minimising the Geometric Mean Deviation -- Perspectives on Errors-in-Variables Estimation for Dynamic Systems --
Errors-in-Variables Filtering in Behavioural and State-Space Contexts -- Weighted Total Least Squares, Rank Deficiency and Linear Matrix Structures -- Frequency-Domain TLS and GTLS Algorithms for Modal Analysis Applications -- A New
Decimative Spectral Estimation Method with Unconstrained Model Order and Decimation Factor -- Modeling Audio with Damped Sinusoids Using Total Least Squares Algorithms -- Real-Time TLS Algorithms in Gaussian and Impulse Noise
Environments -- Efficient Computation of the Riemannian SVD in Total Least Squares Problems in Information Retrieval -- Constrained Total Least Squares for Color Image Reconstruction -- Total Least Squares in Astronomy -- TLS and
Constrained TLS Neural Networks for Computer Vision
ISBN:9789401735520
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Algebra , Matrix theory , Applied mathematics , Engineering mathematics , Algorithms , Statistics , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory , Statistics, general , Applications of Mathematics , Numeric Computing , Algorithms
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Call number:SPRINGER-2002-9789401732215:ONLINE Show nearby items on shelf
Title:Tensor Analysis and Nonlinear Tensor Functions
Author(s): Yu. I Dimitrienko
Date:2002
Size:1 online resource (662 p.)
Note:10.1007/978-94-017-3221-5
Contents:1. Tensor Algebra -- 2. Tensors in Linear Spaces -- 3. Groups of Transformations -- 4. Indifferent Tensors and Invariants -- 5. Tensor Functions -- 6. Tensor Analysis -- 7. Geometry of Curves and Surfaces -- 8. Tensors in Riemannian
Spaces and Affinely Connected Spaces -- 9. Integration of Tensors -- 10. Tensors in Continuum Mechanics -- 11. Tensor Functions in Continuum Mechanics -- References
ISBN:9789401732215
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Global analysis (Mathematics) , Manifolds (Mathematics) , Topology , Continuum mechanics , Vibration , Dynamical systems , Dynamics , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Topology , Continuum Mechanics and Mechanics of Materials , Global Analysis and Analysis on Manifolds , Vibration, Dynamical Systems, Control
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Call number:SPRINGER-2002-9789401599887:ONLINE Show nearby items on shelf
Title:Tensor Analysis and Continuum Mechanics
Author(s): Yves R Talpaert
Date:2002
Size:1 online resource (591 p.)
Note:10.1007/978-94-015-9988-7
Contents:1. Tensors -- 2 Lagrangian and Eulerian Descriptions -- 3 Deformations -- 4 Kinematics of Continua -- 5 Fundamental Laws Principle of Virtual Work -- 6 Linear Elasticity -- Summary of Formulae -- Glossary of Symbols
ISBN:9789401599887
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Applied mathematics , Engineering mathematics , Mechanics , Continuum mechanics , Mathematics , Applications of Mathematics , Continuum Mechanics and Mechanics of Materials , Mechanics , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2002-9789401599641:ONLINE Show nearby items on shelf
Title:A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences With Complete Bibliography
Author(s): Kazimierz Głazek
Date:2002
Size:1 online resource (392 p.)
Note:10.1007/978-94-015-9964-1
Contents:I: Short Guide to the Literature on Semirings -- 1 Preliminaries -- 2 The Algebraic Theory of Semirings -- 3 Linear Algebra Over Semirings -- 4 Ordered Structures and Semirings -- 5 Selected Applications of Semirings -- II:
Bibliography --
ISBN:9789401599641
Series:eBooks
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Keywords: Mathematics , Algebra , Group theory , Matrix theory , Mathematics , Algebra , Group Theory and Generalizations , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2002-9783540456179:ONLINE Show nearby items on shelf
Title:Quantum Cohomology Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997
Author(s): Kai Behrend
Date:2002
Size:1 online resource (322 p.)
Note:10.1007/b82946
Contents:K. Behrend: Localization and Gromov-Witten Invariants -- C. Gómez: Field, Strings, and Branes -- V. Tarasov: q-Hypergeometric Functions and Representation -- G. Tian: Constructing Symplectic Invariants
ISBN:9783540456179
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1776
Keywords: Mathematics , Algebra , Matrix theory , Geometry , Mathematics , Geometry , Linear and Multilinear Algebras, Matrix Theory , Algebra
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Call number:SPRINGER-2002-9783540454212:ONLINE Show nearby items on shelf
Title:Matrix Inequalities
Author(s): Xingzhi Zhan
Date:2002
Size:1 online resource (124 p.)
Note:10.1007/b83956
Contents:Inequalities in the Loewner Partial Order: The Loewner-Heinz inequality Maps on matrix spaces Inequalities for matrix powers Block matrix techniques -- Majorization and Eigenvalues: Majorizations Eigenvalues of Hadamard products
Singular Values: Matrix Young inequalities Singular values of Hadamard products Differences of positive semidefinite matrices Matrix Cartesian decompositions Singular values and matrix entries -- Norm Inequalities: Operator monotone
functions Cartesian decompositions revisited Arithmetic-geometric mean inequalities Inequalities of Holder and Minkowski types Permutations of matrix entries The numerical radius Norm estimates of banded matrices -- Solution of the van
der Waerden Conjecture
ISBN:9783540454212
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 1790
Keywords: Mathematics , Algebra , Matrix theory , Operator theory , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory , Operator Theory
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Call number:SPRINGER-2002-9781461300410:ONLINE Show nearby items on shelf
Title:Algebra
Author(s): Serge Lang
Date:2002
Edition:Revised Third Edition
Size:1 online resource (914 p.)
Note:10.1007/978-1-4613-0041-0
Contents:One The Basic Objects of Algebra -- I Groups -- II Rings -- III Modules -- IV Polynomials -- Two Algebraic Equations -- V Algebraic Extensions -- VI Galois Theory -- VII Extensions of Rings -- VIII Transcendental Extensions -- IX
Algebraic Spaces -- X Noetherian Rings and Modules -- XI Real Fields -- XII Absolute Values -- Three Linear Algebra and Representations -- XIII Matrices and Linear Maps -- XIV Representation of One Endomorphism -- XV Structure of
Bilinear Forms -- XVI The Tensor Product -- XVII Semisimplicity -- XVIII Representations of Finite Groups -- XIX The Alternating Product -- Four Homological Algebra -- XX General Homology Theory -- XXI Finite Free Resolutions --
Appendix 2 Some Set Theory
ISBN:9781461300410
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 211
Keywords: Mathematics , Algebra , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Matrix theory , Mathematics , Algebra , Commutative Rings and Algebras , Linear and Multilinear Algebras, Matrix Theory , Associative Rings and Algebras , Group Theory and Generalizations
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Call number:SPRINGER-2002-9781447106814:ONLINE Show nearby items on shelf
Title:Basic Linear Algebra
Author(s): T. S Blyth
Date:2002
Edition:Second Edition
Size:1 online resource (XI, 232p p.)
Note:10.1007/978-1-4471-0681-4
Contents:1. The Algebra of Matrices -- 2. Some Applications of Matrices -- 3. Systems of Linear Equations -- 4. Invertible Matrices -- 5. Vector Spaces -- 6. Linear Mappings -- 7. The Matrix Connection -- 8. Determinants -- 9. Eigenvalues and
Eigenvectors -- 10. The Minimum Polynomial -- 11. Computer Assistance -- 12. Solutions to the Exercises
ISBN:9781447106814
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Algebra , Matrix theory , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2002-9781447106616:ONLINE Show nearby items on shelf
Title:Further Linear Algebra
Author(s): T. S Blyth
Date:2002
Size:1 online resource (VII, 230p p.)
Note:10.1007/978-1-4471-0661-6
Contents:The story so far -- 1. Inner Product Spaces -- 2. Direct Sums of Subspaces -- 3. Primary Decomposition -- 4. Reduction to Triangular Form -- 5. Reduction to Jordan Form -- 6. Rational and Classical Forms -- 7. Dual Spaces -- 8.
Orthogonal Direct Sums -- 9. Bilinear and Quadratic Forms -- 10. Real Normality -- 11. Computer Assistance -- 12. …. but who were they? -- 13. Solutions to the Exercises
ISBN:9781447106616
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Algebra , Matrix theory , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Algebra
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Call number:SPRINGER-2002-9781447101833:ONLINE Show nearby items on shelf
Title:Matrix Groups An Introduction to Lie Group Theory
Author(s): Andrew Baker
Date:2002
Size:1 online resource (330 p.)
Note:10.1007/978-1-4471-0183-3
Contents:I. Basic Ideas and Examples -- 1. Real and Complex Matrix Groups -- 2. Exponentials, Differential Equations and One-parameter Subgroups -- 3. Tangent Spaces and Lie Algebras -- 4. Algebras, Quaternions and Quaternionic Symplectic
Groups -- 5. Clifford Algebras and Spinor Groups -- 6. Lorentz Groups -- II. Matrix Groups as Lie Groups -- 7. Lie Groups -- 8. Homogeneous Spaces -- 9. Connectivity of Matrix Groups -- III. Compact Connected Lie Groups and their
Classification -- 10. Maximal Tori in Compact Connected Lie Groups -- 11. Semi-simple Factorisation -- 12. Roots Systems, Weyl Groups and Dynkin Diagrams -- Hints and Solutions to Selected Exercises
ISBN:9781447101833
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Group theory , Matrix theory , Algebra , Topological groups , Lie groups , Differential geometry , Physics , Mathematics , Topological Groups, Lie Groups , Linear and Multilinear Algebras, Matrix Theory , Differential Geometry , Theoretical, Mathematical and Computational Physics , Group Theory and Generalizations
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Call number:SPRINGER-2002-9780387227580:ONLINE Show nearby items on shelf
Title:Matrices Theory and Applications
Author(s): Denis Serre
Date:2002
Size:1 online resource (202 p.)
Note:10.1007/b98899
Contents:Elementary Theory -- Square Matrices -- Matrices with Real or Complex Entries -- Norms -- Nonnegative Matrices -- Matrices with Entries in a Principal Ideal Domain Jordan Reduction -- Exponential of a Matrix, Polar Decomposition, and
Classical Groups -- Matrix Factorizations -- Iterative Methods for Linear Problems -- Approximation of Eigenvalues
ISBN:9780387227580
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 216
Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Analysis
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Call number:SPRINGER-2001-9789401724753:ONLINE Show nearby items on shelf
Title:Old and New Aspects in Spectral Geometry
Author(s): Mircea Craioveanu
Date:2001
Size:1 online resource (446 p.)
Note:10.1007/978-94-017-2475-3
Contents:1. Introduction to Riemannian Manifolds -- 2. Canonical Differential Operators Associated to a Riemannian Manifold -- 3. Spectral Properties of the Laplace-Beltrami Operator and Applications -- 4. Isospectral Closed Riemannian
Manifolds -- 5. Spectral Properties of the Laplacians for the de Rham Complex -- 6. Applications to Geometry and Topology -- 7. An Introduction to Witten-Helffer-Sjöstrand Theory -- 8. Open Problems and Comments -- 1. Review of Matrix
Algebra -- 2. Eigenvectors and Eigenvalues -- 3. Diagonalizable Matrices. Triangularizable Matrices. Jordan Canonical Form -- 4. Eigenvalues and Eigenvectors of Real Symmetric and Hermitian Matrices -- References
ISBN:9789401724753
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 534
Keywords: Mathematics , Matrix theory , Algebra , Global analysis (Mathematics) , Manifolds (Mathematics) , Applied mathematics , Engineering mathematics , Differential geometry , Mathematics , Global Analysis and Analysis on Manifolds , Differential Geometry , Applications of Mathematics , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2001-9781461302957:ONLINE Show nearby items on shelf
Title:Optimization Theory Recent Developments from Mátraháza
Author(s):
Date:2001
Size:1 online resource (280 p.)
Note:10.1007/978-1-4613-0295-7
Contents:Heuristics for the Process Network Synthesis Problem -- Heuristics for Simplified Process Network Synthesis (PNS) Problems with a Blossom-Type Algorithm for the Edge Covering Problem -- Lower and Upper Bounds on the Probability of the
Union of Some Events with Applications -- The Linear Complementarity Problem and the Class of Generalized Positive Subdefinite Matrices -- Computer Experiences with Successive Regression Approximations for Solving Equations -- A Bundle
of Smooth Lagrangians in Mathematical Programming -- A Nontopological Two-function Minimax Theorem with Monotone Ttansformations of the Functional Values -- Non-smooth Optimization with Randomization -- The Sherman-Morrison Formula for
the Determinant and its Application for Optimizing Quadratic Functions on Condition Sets Given by Extreme Generators -- Duality For D.C. Optimization Over Compact Sets -- Characterization of Monotone Operators by Using a Special Class
of Preinvex Functions -- Two Approaches for Parallelizing the UEGO Algorithm -- Convexification of Functions by Nonlinear Coordinate Transformations -- Packing Equal Circles in a Square I. — Problem Setting and Bounds for Optimal
Solutions -- Packing Equal Circles in a Square II. — New Results for up to 100 Circles Using the TAMSASS-PECS Algorithm -- On Duality for Quasi-convex Supremization and Reverse Convex Infimization -- A Minimization Problem in Function
Spaces
ISBN:9781461302957
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 59
Keywords: Mathematics , Numerical analysis , Matrix theory , Algebra , Algorithms , Mathematical optimization , Mathematics , Optimization , Numeric Computing , Algorithms , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2001-9781461300977:ONLINE Show nearby items on shelf
Title:Algebras of Linear Transformations
Author(s): Douglas R Farenick
Date:2001
Size:1 online resource (240 p.)
Note:10.1007/978-1-4613-0097-7
Contents:1. Linear Algebra -- 1.1 Vector Spaces and Duality -- 1.2 Direct Sums and Quotients -- 1.3 Inner-Product Spaces -- 1.4 The Spectral Theorem -- 1.5 Fields and Field Extensions -- 1.6 Existence of Bases for Infinite-Dimensional Spaces
-- 1.7 Notes -- 1.8 Exercises -- 2. Algebras -- 2.1 Algebrai c Structures -- 2.2 Algebras with a Prescribed Basis -- 2.3 Algebras of Linear Transformations -- 2.4 Inversion and Spectra -- 2.5 Division Algebras and Other Simple Algebras
-- 2.6 Notes -- 2.7 Exercises -- 3. Invariant Subspaces -- 3.1 The Invariant-Subspace Lattice -- 3.2 Idempotents and Projections -- 3.3 Existence of Invariant Subspaces -- 3.4 Representations and Left Ideals -- 3.5 Functional Calculus
and Polar Decomposition -- 3.6 Notes -- 3.7 Exercises -- 4. Semisimple Algebras -- 4.1 Nilpotent Algebras and the Nil Radical -- 4.2 Structure of Semisimple Algebras -- 4.3 Structure of Simple Algebras -- 4.4 Isomorphism Classes of
Semisimple Algebras -- 4.5 Notes -- 4.6 Exercises -- 5. Operator Algebras -- 5.1 Von Neumann Algebras -- 5.2 Real and Complex Involutive Algebras -- 5.3 Representation of Operator Algebras -- 5.4 Wedderburn Theorems for Operator
Algebras -- 5.5 C*-Algebras -- 5.5 Notes -- 5.7 Exercises -- 6. Tensor Products -- 6.1 Free Vector Spaces -- 6.2 Tensor Products of Vector Spaces -- 6.3 Tensor Products of Algebras -- 6.4 Tensor Products of Operator Algebras -- 6.5
Notes -- 6.6 Exercises -- References
ISBN:9781461300977
Series:eBooks
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Keywords: Mathematics , Matrix theory , Algebra , Mathematics , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2001-9781461201298:ONLINE Show nearby items on shelf
Title:Structured Matrices and Polynomials Unified Superfast Algorithms
Author(s): Victor Y Pan
Date:2001
Size:1 online resource (278 p.)
Note:10.1007/978-1-4612-0129-8
ISBN:9781461201298
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Computer science , Algebra , Matrix theory , Computer mathematics , Mathematics , Algebra , Linear and Multilinear Algebras, Matrix Theory , Theory of Computation , Mathematics of Computing , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2000-9789401595902:ONLINE Show nearby items on shelf
Title:Modern Projective Geometry
Author(s): Claude-Alain Faure
Date:2000
Size:1 online resource (363 p.)
Note:10.1007/978-94-015-9590-2
Contents:1. Fundamental Notions of Lattice Theory -- 2. Projective Geometries and Projective Lattices -- 3. Closure Spaces and Matroids -- 4. Dimension Theory -- 5. Geometries of degree n -- 6. Morphisms of Projective Geometries -- 7.
Embeddings and Quotient-Maps -- 8. Endomorphisms and the Desargues Property -- 9. Homogeneous Coordinates -- 10. Morphisms and Semilinear Maps -- 11. Duality -- 12. Related Categories -- 13. Lattices of Closed Subspaces -- 14.
Orthogonality -- List of Problems -- List of Axioms -- List of Symbols
ISBN:9789401595902
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 521
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Matrix theory , Algebra , Geometry , Combinatorics , Quantum physics , Mathematics , Geometry , Linear and Multilinear Algebras, Matrix Theory , Combinatorics , Category Theory, Homological Algebra , Quantum Physics
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Call number:SPRINGER-2000-9783642620317:ONLINE Show nearby items on shelf
Title:Introduction to Quadratic Forms
Author(s): O. Timothy O’Meara
Date:2000
Size:1 online resource (344 p.)
Note:10.1007/978-3-642-62031-7
Contents:One Arithmetic Theory of Fields -- I. Valuated Fields -- II. Dedekind Theory of Ideals -- III. Fields of Number Theory -- Two Abstract Theory of Quadratic Forms -- IV. Quadratic Forms and the Orthogonal Group -- V. The Algebras of
Quadratic Forms -- Three Arithmetic Theory of Quadratic Forms over Fields -- VI. The Equivalence of Quadratic Forms -- VII. Hilbert’s Reciprocity Law -- Four Arithmetic Theory of Quadratic Forms over Rings -- VIII. Quadratic Forms over
Dedekind Domains -- IX. Integral Theory of Quadratic Forms over Local Fields -- X. Integral Theory of Quadratic Forms over Global Fields
ISBN:9783642620317
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Classics in Mathematics: 117
Keywords: Mathematics , Group theory , Matrix theory , Algebra , Number theory , Mathematics , Number Theory , Linear and Multilinear Algebras, Matrix Theory , Group Theory and Generalizations
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Call number:SPRINGER-2000-9783642051562:ONLINE Show nearby items on shelf
Title:Matrix Iterative Analysis
Author(s): Richard S Varga
Date:2000
Size:1 online resource (358 p.)
Note:10.1007/978-3-642-05156-2
Contents:Matrix Properties and Concepts -- Nonnegative Matrices -- Basic Iterative Methods and Comparison Theorems -- Successive Overrelaxation Iterative Methods -- Semi-Iterative Methods -- Derivation and Solution of Elliptic Difference
Equations -- Alternating-Direction Implicit Iterative Methods -- Matrix Methods for Parabolic Partial Differential Equations -- Estimation of Acceleration Parameters
ISBN:9783642051562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Computational Mathematics: 27
Keywords: Mathematics , Algebra , Matrix theory , Numerical analysis , Mathematics , Algebra , Numerical Analysis , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2000-9781461542735:ONLINE Show nearby items on shelf
Title:Linear Dependence Theory and Computation
Author(s): S. N Afriat
Date:2000
Size:1 online resource (175 p.)
Note:10.1007/978-1-4615-4273-5
Contents:1 Matrices -- 2 Linear Space -- 3 Linear Dependence -- 4 Dimension -- 5 Replacement -- 6 Linear Equations -- 7 Determinants -- 8 Determinants and Matrices -- 9 Quadratic Forms -- 1 Permutations -- 2 Combinations -- 1 Maximal
replacement -- 2 Rank reduction -- 3 Tucker’s pivot algorithm -- 4 Extended rank reduction -- 5 Permutations -- 6 Combinations
ISBN:9781461542735
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computers , Numerical analysis , Algebra , Matrix theory , Applied mathematics , Engineering mathematics , Mathematics , Algebra , Numeric Computing , Applications of Mathematics , Theory of Computation , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-2000-9781461213468:ONLINE Show nearby items on shelf
Title:Matrix Diagonal Stability in Systems and Computation
Author(s): Eugenius Kaszkurewicz
Date:2000
Size:1 online resource (267 p.)
Note:10.1007/978-1-4612-1346-8
Contents:1 Diagonally Stable Structures in Systems and Computa tion -- 2 Matrix Diagonal and D-Stability -- 3 Mathematical Models Admitting Diagonal-Type Lia punov Functions -- 4 Convergence of Asynchronous Iterative Methods -- 5 Neural
Networks, Circuits, and Systems -- 6 Interconnected Systems: Stability and Stabilization -- Epilogue -- References
ISBN:9781461213468
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Computer mathematics , Numerical analysis , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Numerical Analysis , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2000-9781461212003:ONLINE Show nearby items on shelf
Title:Simultaneous Triangularization
Author(s): Heydar Radjavi
Date:2000
Size:1 online resource (319 p.)
Note:10.1007/978-1-4612-1200-3
Contents:One: Algebras of Matrices -- 1.1 The Triangularization Lemma -- 1.2 Burnside’s Theorem -- 1.3 Triangularizability of Algebras of Matrices -- 1.4 Triangularization and the Radical -- 1.5 Block Triangularization and Characterizations of
Triangularizability -- 1.6 Approximate Commutativity -- 1.7 Nonassociative Algebras -- 1.8 Notes and Remarks -- Two: Semigroups of Matrices -- 2.1 Basic Definitions and Propositions -- 2.2 Permutable Trace -- 2.3 Zero-One Spectra --
2.4 Notes and Remarks -- Three: Spectral Conditions on Semigroups -- 3.1 Reduction to the Field of Complex Numbers -- 3.2 Permutable Spectrum -- 3.3 Submultiplicative Spectrum -- 3.4 Conditions on Spectral Radius -- 3.5 The Dominance
Condition on Spectra -- 3.6 Notes and Remarks -- Four: Finiteness Lemmas and Further Spectral Conditions -- 4.1 Reductions to Finite Semigroups -- 4.2 Subadditive and Sublinear Spectra -- 4.3 Further Multiplicative Conditions on
Spectra -- 4.4 Polynomial Conditions on Spectra -- 4.5 Notes and Remarks -- Five: Semigroups of Nonnegative Matrices -- 5.1 Decomposability -- 5.2 Indecomposable Semigroups -- 5.3 Connections with Reducibility -- 5.4 Notes and Remarks
-- Six: Compact Operators and Invariant Subspaces -- 6.1 Operators on Banach Spaces -- 6.2 Compact Operators -- 6.3 Invariant Subspaces for Compact Operators -- 6.4 The Riesz Decomposition of Compact Operators -- 6.5 Trace-Class
Operators on Hilbert Space -- 6.6 Notes and Remarks -- Seven: Algebras of Compact Operators -- 7.1 The Definition of Triangularizability -- 7.2 Spectra from Triangular Forms -- 7.3 Lomonosov’s Lemma and McCoy’s Theorem -- 7.4
Transitive Algebras -- 7.5 Block Triangularization and Applications -- 7.6 Approximate Commutativity -- 7.7 Notes and Remarks -- Eight: Semigroups of Compact Operators -- 8.1 Quasinilpotent Compact Operators -- 8.2 A General Approach
-- 8.3 Permutability and Submultiplicativity of Spectra -- 8.4 Subadditivity and Sublinearity of Spectra -- 8.5 Polynomial Conditions on Spectra -- 8.6 Conditions on Spectral Radius and Trace -- 8.7 Nonnegative Operators -- 8.8 Notes
and Remarks -- Nine: Bounded Operators -- 9.1 Collections of Nilpotent Operators -- 9.2 Commutators of Rank One -- 9.3 Bands -- 9.4 Nonnegative Operators -- 9.5 Notes and Remarks -- References -- Notation Index -- Author Index
ISBN:9781461212003
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Analysis
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Call number:SPRINGER-2000-9780387226019:ONLINE Show nearby items on shelf
Title:Linear Algebra and Linear Models
Author(s): R. B Bapat
Date:2000
Edition:Second Edition
Size:1 online resource (139 p.)
Note:10.1007/b97609
Contents:Vector Spaces and Matrices -- Linear Estimation -- Tests of Linear Hypotheses -- Singular Values and Their Applications -- Block Designs and Optimality -- Rank Additivity
ISBN:9780387226019
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Statistics , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Statistics for Business/Economics/Mathematical Finance/Insurance , Statistics, general
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Call number:SPRINGER-1999-9783662111673:ONLINE Show nearby items on shelf
Title:Applied Finite Group Actions
Author(s): Adalbert Kerber
Date:1999
Edition:2nd, Revised and Expanded Edition
Size:1 online resource (454 p.)
Note:10.1007/978-3-662-11167-3
Contents:0. Labeled Structures -- 1. Unlabeled Structures -- 2. Enumeration of Unlabeled Structures -- 3. Enumeration by Weight -- 4. Enumeration by Stabilizer Class -- 5. Poset and Semigroup Actions -- 6. Representations -- 7. Further
Applications -- 8. Permutations -- 9. Construction and Generation -- 10. Tables -- 11. Appendix -- 12. Comments and References -- References
ISBN:9783662111673
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 19
Keywords: Mathematics , Chemometrics , Matrix theory , Algebra , Discrete mathematics , Combinatorics , Physics , Mathematics , Discrete Mathematics , Combinatorics , Linear and Multilinear Algebras, Matrix Theory , Math. Applications in Chemistry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1999-9781475757972:ONLINE Show nearby items on shelf
Title:Matrix Theory Basic Results and Techniques
Author(s): Fuzhen Zhang
Date:1999
Size:1 online resource (279 p.)
Note:10.1007/978-1-4757-5797-2
Contents:1 Elementary Linear Algebra Review -- 2 Partitioned Matrices -- 3 Matrix Polynomials and Canonical Forms -- 4 Special Types of Matrices -- 5 Unitary Matrices and Contractions -- 6 Positive Semidefinite Matrices -- 7 Hermitian Matrices
-- 8 Normal Matrices -- References -- Notation
ISBN:9781475757972
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Matrix theory , Algebra , Mathematics , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1999-9781475743883:ONLINE Show nearby items on shelf
Title:A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
Author(s): Hanif D Sherali
Date:1999
Size:1 online resource (518 p.)
Note:10.1007/978-1-4757-4388-3
Contents:1 Introduction -- I Discrete Nonconvex Programs -- 2 RLT Hierarchy for Mixed-Integer Zero-One Problems -- 3 Generalized Hierarchy for Exploiting Special Structures in Mixed-Integer Zero-One Problems -- 4 RLT Hierarchy for General
Discrete Mixed-Integer Problems -- 5 Generating Valid Inequalities and Facets Using RLT -- 6 Persistency in Discrete Optimization -- II Continuous Nonconvex Programs -- 7 RLT-Based Global Optimization Algorithms for Nonconvex
Polynomial Programming Problems -- 8 Reformulation-Convexification Technique for Quadratic Programs and Some Convex Envelope Characterizations -- 9 Reformulation-Convexification Technique for Polynomial Programs: Design and
Implementation -- III Special Applications to Discrete and Continuous Nonconvex Programs -- 10 Applications to Discrete Problems -- 11 Applications to Continuous Problems -- References
ISBN:9781475743883
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 31
Keywords: Mathematics , Matrix theory , Algebra , Computer mathematics , Algorithms , Mathematical optimization , Combinatorics , Mathematics , Optimization , Combinatorics , Algorithms , Computational Mathematics and Numerical Analysis , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1999-9781461553212:ONLINE Show nearby items on shelf
Title:Locating Lines and Hyperplanes Theory and Algorithms
Author(s): Anita Schöbel
Date:1999
Size:1 online resource (200 p.)
Note:10.1007/978-1-4615-5321-2
ISBN:9781461553212
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 25
Keywords: Mathematics , Matrix theory , Algebra , Potential theory (Mathematics) , Computer mathematics , Algorithms , Mathematics , Mathematics, general , Computational Mathematics and Numerical Analysis , Algorithms , Linear and Multilinear Algebras, Matrix Theory , Potential Theory
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Call number:SPRINGER-1999-9781461214267:ONLINE Show nearby items on shelf
Title:Introduction to Large Truncated Toeplitz Matrices
Author(s): Albrecht Böttcher
Date:1999
Size:1 online resource (259 p.)
Note:10.1007/978-1-4612-1426-7
Contents:1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8
Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local
Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6
Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s
Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers
-- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The
Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block
Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas --
6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise
Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index
ISBN:9781461214267
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Topology , Mathematics , Topology , Linear and Multilinear Algebras, Matrix Theory , Analysis
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Call number:SPRINGER-1999-9781461205531:ONLINE Show nearby items on shelf
Title:Easy as π? An Introduction to Higher Mathematics
Author(s): O. A Ivanov
Date:1999
Size:1 online resource (190 p.)
Note:10.1007/978-1-4612-0553-1
Contents:1 Induction -- 1.1 Principle or method? -- 1.2 The set of integers -- 1.3 Peano’s axioms -- 1.4 Addition, order, and multiplication -- 1.5 The method of mathematical induction -- 2 Combinatorics -- 2.1 Elementary problems -- 2.2
Combinations and recurrence relations -- 2.3 Recurrence relations and power series -- 2.4 Generating functions -- 2.5 The numbers ?e, and n-factorial -- 3 Geometric Transformations -- 3.1 Translations, rotations, and other symmetries,
in the context of problem-solving -- 3.2 Problems involving composition of transformations -- 3.3 The group of Euclidean motions of the plane -- 3.4 Ornaments -- 3.5 Mosaics and discrete groups of motions -- 4 Inequalities -- 4.1 The
means of a pair of numbers -- 4.2 Cauchy’s inequality and the a.m.-g.m. inequality -- 4.3 Classical inequalities and geometry -- 4.4 Integral variants of the classical inequalities -- 4.5 Wirtinger’s inequality and the isoperimetric
problem -- 5 Sets, Equations, and Polynomials -- 5.1 Figures and their equations -- 5.2 Pythagorean triples and Fermat’s last theorem -- 5.3 Numbers and polynomials -- 5.4 Symmetric polynomials -- 5.5 Discriminants and resultants --
5.6 The method of elimination and Bézout’s theorem -- 5.7 The factor theorem and finite fields -- 6 Graphs -- 6.1 Graphical reformulations -- 6.2 Graphs and parity -- 6.3 Trees -- 6.4 Euler’s formula and the Euler characteristic -- 6.5
The Jordan curve theorem -- 6.6 Pairings -- 6.7 Eulerian graphs and a little more -- 7 The Pigeonhole Principle -- 7.1 Pigeonholes and pigeons -- 7.2 Poincaré’s recurrence theorem -- 7.3 Liouville’s theorem -- 7.4 Minkowski’s lemma --
7.5 Sums of two squares -- 7.6 Sums of four squares. Euler’s identity -- 8 The Quaternions -- 8.1 The skew-field of quaternions, and Euler’s identity -- 8.2 Division algebras. Frobenius’s theorem -- 8.3 Matrix algebras -- 8.4
Quaternions and rotations -- 9 The Derivative -- 9.1 Geometry and mechanics -- 9.2 Functional equations -- 9.3 The motion of a point—particle -- 9.4 On the number e -- 9.5 Contracting maps -- 9.6 Linearization -- 9.7 The Morse-Sard
theorem -- 9.8 The law of conservation of energy -- 9.9 Small oscillations -- 10 The Foundations of Analysis -- 10.1 The rational and real number fields -- 10.2 Nonstandard number lines -- 10.3 “Nonstandard” statements and proofs --
10.4 The reals numbers via Dedekind cuts -- 10.5 Construction of the reals via Cauchy sequences -- 10.6 Construction of a model of a nonstandard real line -- 10.7 Norms on the rationals -- References
ISBN:9781461205531
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , Geometry , Number theory , Combinatorics , Mathematics , Combinatorics , Number Theory , Linear and Multilinear Algebras, Matrix Theory , Geometry
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Call number:SPRINGER-1999-9780387227740:ONLINE Show nearby items on shelf
Title:Determinants and Their Applications in Mathematical Physics
Author(s): Robert Vein
Date:1999
Size:1 online resource (376 p.)
Note:10.1007/b98968
Contents:Determinants, First Minors, and Cofactors -- A Summary of Basic Determinant Theory -- Intermediate Determinant Theory -- Particular Determinants -- Further Determinant Theory -- Applications of Determinants in Mathematical Physics
ISBN:9780387227740
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 134
Keywords: Mathematics , Matrix theory , Algebra , Physics , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1998-9789401153324:ONLINE Show nearby items on shelf
Title:Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
Author(s): Willi-Hans Steeb
Date:1998
Size:1 online resource (238 p.)
Note:10.1007/978-94-011-5332-4
Contents:1 Hilbert Spaces -- 2 Fourier Transform and Wavelets -- 3 Linear Operators in Hilbert Spaces -- 4 Generalized Functions -- 5 Classical Mechanics and Hamilton Systems -- 6 Postulates of Quantum Mechanics -- 7 Interaction Picture -- 8
Eigenvalue Problem -- 8.1 Eigenvalue Equation -- 8.2 Applications -- 9 Spin Matrices and Kronecker Product -- 10 Parity and Group Theory -- 11 Uncertainty Relation -- 12 Harmonic Oscillator -- 12.1 Classical Case -- 12.2 Quantum Case
-- 13 Coherent and Squeezed States -- 14 Angular Momentum and Lie Algebras -- 15 Two-Body Bound State Problem -- 15.1 Introduction -- 15.2 Spherical Oscillator -- 15.3 Hydrogen-like Atoms -- 16 One-Dimensional Scattering -- 17 Solitons
and Quantum Mechanics -- 18 Perturbation Theory -- 19 Helium Atom -- 20 Potential Scattering -- 21 Berry Phase -- 22 Measurement and Quantum States -- 22.1 Introduction -- 22.2 Measurement Problem -- 22.3 Copenhagen Interpretation --
22.4 Hidden Variable Theories -- 22.5 Everett Interpretation -- 22.6 Basis Degeneracy Problem -- 23 Quantum Computing -- 23.1 Introduction -- 23.2 Quantum Bit -- 23.3 Quantum Gates -- 23.4 Quantum Copying -- 23.5 Shor’s Algorithm -- 24
Lebesgue Integration and Stieltjes Integral
ISBN:9789401153324
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 451
Keywords: Physics , Matrix theory , Algebra , Functional analysis , Applied mathematics , Engineering mathematics , Quantum physics , Physics , Theoretical, Mathematical and Computational Physics , Quantum Physics , Applications of Mathematics , Functional Analysis , Linear and Multilinear Algebras, Matrix Theory
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Call number:SPRINGER-1998-9783540687115:ONLINE Show nearby items on shelf
Title:Markov Set-Chains
Author(s): Darald J Hartfiel
Date:1998
Size:1 online resource (132 p.)
Note:10.1007/BFb0094586
Contents:Stochastic matrices and their variants -- to Markov set-chains -- Convergence of Markov set-chains -- Behavior in Markov set-chains
ISBN:9783540687115
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1695
Keywords: Mathematics , Computer science , Matrix theory , Algebra , Convex geometry , Discrete geometry , Probabilities , Biomathematics , Mathematics , Probability Theory and Stochastic Processes , Linear and Multilinear Algebras, Matrix Theory , Convex and Discrete Geometry , Mathematical and Computational Biology , Math Applications in Computer Science
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Call number:SPRINGER-1998-9781475728170:ONLINE Show nearby items on shelf
Title:Time-Varying Systems and Computations
Author(s): Patrick Dewilde
Date:1998
Size:1 online resource (460 p.)
Note:10.1007/978-1-4757-2817-0
Contents:1. Introduction -- I Realization -- 2. Notation and Properties of Non-Uniform Spaces -- 3. Time-Varying State Space Realizations -- 4. Diagonal Algebra -- 5. Operator Realization Theory -- 6. Isometric and Inner Operators -- 7.
Inner-Outer Factorization and Operator Inversion -- II Interpolation and Approximation -- 8. J-Unitary Operators -- 9. Algebraic Interpolation -- 10. Hankel-Norm Model Reduction -- 11. Low-Rank Matrix Approximation and Subspace
Tracking -- III Factorization -- 12. Orthogonal Embedding -- 13. Spectral Factorization -- 14. Lossless Cascade Factorizations -- 15. Conclusion -- Appendices -- A—Hilbert space definitions and properties -- References -- Glossary of
notation
ISBN:9781475728170
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Matrix theory , Algebra , System theory , Electrical engineering , Mathematics , Systems Theory, Control , Electrical Engineering , Linear and Multilinear Algebras, Matrix Theory , Signal, Image and Speech Processing
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Call number:SPRINGER-1998-9781461216704:ONLINE Show nearby items on shelf
Title:Linear Algebra
Author(s): Larry Smith
Date:1998
Edition:Third Edition
Size:1 online resource (454 p.)
Note:10.1007/978-1-4612-1670-4
Contents:1. Vectors in the Plane and in Space -- 1.1 First Steps -- 1.2 Exercises -- 2. Vector Spaces -- 2.1 Axioms for Vector Spaces -- 2.2 Cartesian (or Euclidean) Spaces -- 2.3 Some Rules for Vector Algebra -- 2.4 Exercises -- 3. Examples
of Vector Spaces -- 3.1 Three Basic Examples -- 3.2 Further Examples of Vector Spaces -- 3.3 Exercises -- 4. Subspaces -- 4.1 Basic Properties of Vector Subspaces -- 4.2 Examples of Subspaces -- 4.3 Exercises -- 5. Linear Independence
and Dependence -- 5.1 Basic Definitions and Examples -- 5.2 Properties of Independent and Dependent Sets -- 5.3 Exercises -- 6. Finite-Dimensional Vector Spaces and Bases -- 6.1 Finite-Dimensional Vector Spaces -- 6.2 Properties of
Bases -- 6.3 Using Bases -- 6.4 Exercises -- 7. The Elements of Vector Spaces: A Summing Up -- 7.1 Numerical Examples -- 7.2 Exercises -- 8. Linear Transformations -- 8.1 Definition of Linear Transformations -- 8.2 Examples of Linear
Transformations -- 8.3 Properties of Linear Transformations -- 8.4 Images and Kernels of Linear Transformations -- 8.5 Some Fundamental Constructions -- 8.6 Isomorphism of Vector Spaces -- 8.7 Exercises -- 9. Linear Transformations:
Examples and Applications -- 9.1 Numerical Examples -- 9.2 Some Applications -- 9.3 Exercises -- 10. Linear Transformations and Matrices -- 10.1 Linear Transformations and Matrices in IR3 -- 10.2 Some Numerical Examples -- 10.3
Matrices and Their Algebra -- 10.4 Special Types of Matrices -- 10.5 Exercises -- 11. Representing Linear Transformations by Matrices -- 11.1 Representing a Linear Transformation by a Matrix -- 11.2 Basic Theorems -- 11.3 Change of
Bases -- 11.4 Exercises -- 12. More on Representing Linear Transformations by Matrices -- 12.1 Projections -- 12.2 Nilpotent Transformations -- 12.3 Cyclic Transformations -- 12.4 Exercises -- 13. Systems of Linear Equations -- 13.1
Existence Theorems -- 13.2 Reduction to Echelon Form -- 13.3 The Simplex Method -- 13.4 Exercises -- 14. The Elements of Eigenvalue and Eigenvector Theory -- 14.1 The Rank of an Endomorphism -- 14.2 Eigenvalues and Eigenvectors -- 14.3
Determinants -- 14.4 The Characteristic Polynomial -- 14.5 Diagonalization Theorems -- 14.6 Exercises -- 15. Inner Product Spaces -- 15.1 Scalar Products -- 15.2 Inner Product Spaces -- 15.3 Isometries -- 15.4 The Riesz Representation
Theorem -- 15.5 Legendre Polynomials -- 15.6 Exercises -- 16. The Spectral Theorem and Quadratic Forms -- 16.1 Self-Adjoint Transformations -- 16.2 The Spectral Theorem -- 16.3 The Principal Axis Theorem for Quadratic Forms -- 16.4 A
Proof of the Spectral Theorem in the General Case -- 16.5 Exercises -- 17. Jordan Canonical Form -- 17.1 Invariant Subspaces -- 17.2 Nilpotent Transformations -- 17.3 The Jordan Normal Form -- 17.4 Square Roots -- 17.5 The
Hamilton-Cayley Theorem -- 17.6 Inverses -- 17.7 Exercises -- 18. Application to Differential Equations -- 18.1 Linear Differential Systems: Basic Definitions -- 18.2 Diagonalizable Systems -- 18.3 Application of Jordan Form -- 18.4
Exercises -- 19. The Similarity Problem -- 19.1 The Fundamental Problem of Linear Algebra -- 19.2 A Bit of Invariant Theory -- 19.3 Exercises -- A. Multilinear Algebra and Determinants -- A.1 Multilinear Forms -- A.2 Determinants --
A.3 Exercises -- B. Complex Numbers -- B.1 The Complex Numbers -- B.2 Exercises -- Font Usage -- Notations
ISBN:9781461216704
Series:eBooks
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Keywords: Mathematics , Matrix theory , Algebra , Mathematics , Linear and Multilinear Algebras, Matrix Theory
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