Holdings: Handbook of linear algebra

Handbook of linear algebra:

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Format:	Book
Language:	English
Published:	Boca Raton [u.a.] Chapman & Hall/CRC 2007
Series:	Discrete mathematics and its applications
Subjects:	Algèbre linéaire Lineaire algebra Algebras, Linear Lineare Algebra
Online Access:	Inhaltsverzeichnis Beschreibung für Leser Inhaltsverzeichnis
Physical Description:	Getr. Zählung graph. Darst.
ISBN:	1584885106 9781584885108

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adam_text	Contents Preliminaries ...............................................................................P-l Part I Linear Algebra Basic Linear Algebra 1 Vectors, Matrices and Systems of Linear Equations Jane Day ................................................................................1-1 2 Linear Independence, Span, and Bases Mark Mills .............................................................................2-і 3 Linear Transformations Francesco Barioli .......................................................................3-1 4 Determinants and Eigenvalues Luz M. DeAlba.........................................................................4-і 5 Inner Product Spaces, Orthogonal Projection, Least Squares and Singular Value Decomposition Lixing Han and Michael Neumann .....................................................5-і Matrices with Special Properties 6 Canonical Forms Leslie Högben ...........................................................................6-і 7 Unitary Similarity, Normal Matrices and Spectral Theory Helene Shapiro .........................................................................7-і 8 Hermitian and Positive Definite Matrices Wayne Barrett ..........................................................................8-і 9 Nonnegative and Stochastic Matrices Uriel G. Rothblum......................................................................9-1 10 Partitioned Matrices Robert Reams ..........................................................................10-1 Advanced Linear Algebra 11 Functions of Matrices Nicholas ]. Higham ....................................................................11-1 12 Quadratic, Bilinear and Sesquilinear Forms Raphael Loewy ........................................................................12-1 13 Multilinear Algebra J. A. Dias da Silva anã Armando Machado ............................................13-1 14 Matrix Equalities and Inequalities Michael Tsatsomeros ...................................................................14-1 15 Matrix Perturbation Theory Ren-Cang Li ...........................................................................15-1 16 Pseudospectra Mark Embree ..........................................................................16-1 17 Singular Values and Singular Value Inequalities Roy Mathias...........................................................................17-1 18 Numerical Range Chi-Kwong Li ..........................................................................18-1 19 Matrix Stability and Inertia Daniel Hershkowitz ....................................................................19-1 Topics in Advanced Linear Algebra 20 Inverse Eigenvalue Problems Alberto Borobia ........................................................................20-1 21 Totally Positive and Totally Nonnegative Matrices Shaun M. Fallat .......................................................................21-1 22 Linear Preserver Problems Peter Šemrl ............................................................................22-1 23 Matrices over Integral Domains Shmuel Friedland......................................................................23-1 24 Similarity of Families of Matrices Shmuel Friedland......................................................................24-1 25 Max-Plus Algebra Marianne Akian, Ravindra Bapat, Stephane Gaubert..................................25-1 26 Matrices Leaving a Cone Invariant Bit-Shun Tarn and Hans Schneider ....................................................26-1 Part II Combinatorial Matrix Theory and Graphs Matrices and Graphs 27 Combinatorial Matrix Theory Richard A. Brualdi ....................................................................27-1 28 Matrices and Graphs Willem H. Haemers ....................................................................28-1 29 Digraphs and Matrices Jeffrey L. Stuart ........................................................................29-1 30 Bipartite Graphs and Matrices Bryan L. Shader .......................................................................30-1 Topics in Combinatorial Matrix Theory 31 Permanents lan M. Wanless ........................................................................ 3l-l 32 D-Optimal Designs Michael G. Neubauer and William Watkins ............................................32-1 33 Sign Pattern Matrices Frank J. Hall and Zhongshan Li .......................................................33-1 34 Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph Charles R. Johnson, Antonio Leal Duarte, and Carlos M. Saiago .......................34-1 35 Matrix Completion Problems Leslie Högben and Amy Wangsness ....................................................35-1 36 Algebraic Connectivity Steve Kirkland .........................................................................36-1 Part III Numerical Methods Numerical Methods for Linear Systems 37 Vector and Matrix Norms, Error Analysis, Efficiency and Stability Ralph Byers and Biswa Nath Datta ....................................................37-1 ■Зо Matrix Factorizations, and Direct Solution of Linear Systems Christopher Beattie ....................................................................38-1 39 Least Squares Solution of Linear Systems Per Christian Hansen and Hans Bruun Nielsen ........................................39-1 40 Sparse Matrix Methods Esmond G. Ng .........................................................................40-1 41 Iterative Solution Methods for Linear Systems Anne Greenbaum ......................................................................41-1 Numerical Methods for Eigenvalues 42 Symmetric Matrix Eigenvalue Techniques Ivan Slapnitar .........................................................................42-1 43 Unsymmetric Matrix Eigenvalue Techniques David S. Watkins ......................................................................43-1 44 The Implicitly Restarted Arnoldi Method D. C. Sorensen .........................................................................44-1 45 Computation of the Singular Value Deconposition Alan Kaylor Cline and Inderjit S. Dhillon ..............................................45-1 46 Computing Eigenvalues and Singular Values to High Relative Accuracy Zlatko Drmač......................................................................... 46-1 Computational Linear Algebra 47 Fast Matrix Multiplication Dario A. Bini ..........................................................................47-1 48 Structured Matrix Computations Michael Ng ............................................................................48-1 49 Large-Scale Matrix Computations Roland W. Freund.....................................................................49-1 Part IV Applications Applications to Optimization 50 Linear Programming Leonid N. Vaserstein ...................................................................50-1 51 Semidefinite Programming Henry Wolkowicz ......................................................................51-1 Applications to Probability and Statistics 52 Random Vectors and Linear Statistical Models Simo Puntanen and George P. H. Styan ................................................52-1 53 Multivariate Statistical Analysis Simo Puntanen, George A. F. Seber, and George P. H. Styan ............................53-1 54 Markov Chains Beatrice Meini .........................................................................54-1 Applications to Analysis 55 Differential Equations and Stability Volker Mehrmann and Tatjana Stykel.................................................55-1 56 Dynamical Systems and Linear Algebra Fritz Colonius and Wolfgang Kliemann ................................................56-1 57 Control Theory Peter Benner...........................................................................57-1 58 Fourier Analysis Kenneth Howell .......................................................................58-1 Applications to Physical and Biological Sciences 5 9 Linear Algebra and Mathematical Physics Lorenzo Sadun .........................................................................59-1 60 Linear Algebra in Biomolecular Modeling Zhijun Wu .............................................................................60-1 Applications to Computer Science 61 Coding Theory Joachim Rosenthal and Paul Weiner ...................................................61-1 62 Quantum Computation Zijian Diao ............................................................................62-1 63 Information Retrieval and Web Search Amy Langville and Carl Meyer ........................................................63-1 64 Signal Processing Michael Stewart .......................................................................64-1 Applications to Geometry 65 Geometry Mark Hunacek ........................................................................65-1 66 Some Applications of Matrices and Graphs in Euclidean Geometry Miroslav Fiedler .......................................................................66-1 Applications to Algebra 67 Matrix Groups Peter J. Cameron ......................................................................67-1 68 Group Representations Randall Holmes and T. Y. Tarn .........................................................68-1 69 Nonassociative Algebras Murray R. Bremner, Lucia I. Muakami and Ivan R Shestakov .........................69-1 70 Lie Algebras Robert Wilson .........................................................................70-1 Part V Computational Software Interactive Software for Linear Algebra 71 MATLAB Steven J. Leon .........................................................................71-1 72 Linear Algebra in Maple David J. Jeffrey and Robert M. Corless .................................................72-1 73 Mathematica Heikki Ruskeepää ......................................................................73-1 Packages of Subroutines for Linear Algebra 74 BLAS Jack Dongarra, Victor Eijkhout, and Julien Langou ....................................74-1 75 LAPACK Zhaojun Bat, James Demmel, Jack Dongarra, Julien Langou, and Jenny Wang .........75-1 76 Use of ARPACK and EIGS D. C. Sorensen .........................................................................76-1 77 Summary of Software for Linear Algebra Freely Available on the Web Jack Dongarra, Victor Eijkhout, and Julien Langou ....................................77-1 Glossary .................................................................................. G-l Notation Index ........................................................................... N-l Index ......................................................................................1-1
adam_txt	Contents Preliminaries .P-l Part I Linear Algebra Basic Linear Algebra 1 Vectors, Matrices and Systems of Linear Equations Jane Day .1-1 2 Linear Independence, Span, and Bases Mark Mills .2-і 3 Linear Transformations Francesco Barioli .3-1 4 Determinants and Eigenvalues Luz M. DeAlba.4-і 5 Inner Product Spaces, Orthogonal Projection, Least Squares and Singular Value Decomposition Lixing Han and Michael Neumann .5-і Matrices with Special Properties 6 Canonical Forms Leslie Högben .6-і 7 Unitary Similarity, Normal Matrices and Spectral Theory Helene Shapiro .7-і 8 Hermitian and Positive Definite Matrices Wayne Barrett .8-і 9 Nonnegative and Stochastic Matrices Uriel G. Rothblum.9-1 10 Partitioned Matrices Robert Reams .10-1 Advanced Linear Algebra 11 Functions of Matrices Nicholas ]. Higham .11-1 12 Quadratic, Bilinear and Sesquilinear Forms Raphael Loewy .12-1 13 Multilinear Algebra J. A. Dias da Silva anã Armando Machado .13-1 14 Matrix Equalities and Inequalities Michael Tsatsomeros .14-1 15 Matrix Perturbation Theory Ren-Cang Li .15-1 16 Pseudospectra Mark Embree .16-1 17 Singular Values and Singular Value Inequalities Roy Mathias.17-1 18 Numerical Range Chi-Kwong Li .18-1 19 Matrix Stability and Inertia Daniel Hershkowitz .19-1 Topics in Advanced Linear Algebra 20 Inverse Eigenvalue Problems Alberto Borobia .20-1 21 Totally Positive and Totally Nonnegative Matrices Shaun M. Fallat .21-1 22 Linear Preserver Problems Peter Šemrl .22-1 23 Matrices over Integral Domains Shmuel Friedland.23-1 24 Similarity of Families of Matrices Shmuel Friedland.24-1 25 Max-Plus Algebra Marianne Akian, Ravindra Bapat, Stephane Gaubert.25-1 26 Matrices Leaving a Cone Invariant Bit-Shun Tarn and Hans Schneider .26-1 Part II Combinatorial Matrix Theory and Graphs Matrices and Graphs 27 Combinatorial Matrix Theory Richard A. Brualdi .27-1 28 Matrices and Graphs Willem H. Haemers .28-1 29 Digraphs and Matrices Jeffrey L. Stuart .29-1 30 Bipartite Graphs and Matrices Bryan L. Shader .30-1 Topics in Combinatorial Matrix Theory 31 Permanents lan M. Wanless . 3l-l 32 D-Optimal Designs Michael G. Neubauer and William Watkins .32-1 33 Sign Pattern Matrices Frank J. Hall and Zhongshan Li .33-1 34 Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph Charles R. Johnson, Antonio Leal Duarte, and Carlos M. Saiago .34-1 35 Matrix Completion Problems Leslie Högben and Amy Wangsness .35-1 36 Algebraic Connectivity Steve Kirkland .36-1 Part III Numerical Methods Numerical Methods for Linear Systems 37 Vector and Matrix Norms, Error Analysis, Efficiency and Stability Ralph Byers and Biswa Nath Datta .37-1 ■Зо Matrix Factorizations, and Direct Solution of Linear Systems Christopher Beattie .38-1 39 Least Squares Solution of Linear Systems Per Christian Hansen and Hans Bruun Nielsen .39-1 40 Sparse Matrix Methods Esmond G. Ng .40-1 41 Iterative Solution Methods for Linear Systems Anne Greenbaum .41-1 Numerical Methods for Eigenvalues 42 Symmetric Matrix Eigenvalue Techniques Ivan Slapnitar .42-1 43 Unsymmetric Matrix Eigenvalue Techniques David S. Watkins .43-1 44 The Implicitly Restarted Arnoldi Method D. C. Sorensen .44-1 45 Computation of the Singular Value Deconposition Alan Kaylor Cline and Inderjit S. Dhillon .45-1 46 Computing Eigenvalues and Singular Values to High Relative Accuracy Zlatko Drmač. 46-1 Computational Linear Algebra 47 Fast Matrix Multiplication Dario A. Bini .47-1 48 Structured Matrix Computations Michael Ng .48-1 49 Large-Scale Matrix Computations Roland W. Freund.49-1 Part IV Applications Applications to Optimization 50 Linear Programming Leonid N. Vaserstein .50-1 51 Semidefinite Programming Henry Wolkowicz .51-1 Applications to Probability and Statistics 52 Random Vectors and Linear Statistical Models Simo Puntanen and George P. H. Styan .52-1 53 Multivariate Statistical Analysis Simo Puntanen, George A. F. Seber, and George P. H. Styan .53-1 54 Markov Chains Beatrice Meini .54-1 Applications to Analysis 55 Differential Equations and Stability Volker Mehrmann and Tatjana Stykel.55-1 56 Dynamical Systems and Linear Algebra Fritz Colonius and Wolfgang Kliemann .56-1 57 Control Theory Peter Benner.57-1 58 Fourier Analysis Kenneth Howell .58-1 Applications to Physical and Biological Sciences 5 9 Linear Algebra and Mathematical Physics Lorenzo Sadun .59-1 60 Linear Algebra in Biomolecular Modeling Zhijun Wu .60-1 Applications to Computer Science 61 Coding Theory Joachim Rosenthal and Paul Weiner .61-1 62 Quantum Computation Zijian Diao .62-1 63 Information Retrieval and Web Search Amy Langville and Carl Meyer .63-1 64 Signal Processing Michael Stewart .64-1 Applications to Geometry 65 Geometry Mark Hunacek .65-1 66 Some Applications of Matrices and Graphs in Euclidean Geometry Miroslav Fiedler .66-1 Applications to Algebra 67 Matrix Groups Peter J. Cameron .67-1 68 Group Representations Randall Holmes and T. Y. Tarn .68-1 69 Nonassociative Algebras Murray R. Bremner, Lucia I. Muakami and Ivan R Shestakov .69-1 70 Lie Algebras Robert Wilson .70-1 Part V Computational Software Interactive Software for Linear Algebra 71 MATLAB Steven J. Leon .71-1 72 Linear Algebra in Maple David J. Jeffrey and Robert M. Corless .72-1 73 Mathematica Heikki Ruskeepää .73-1 Packages of Subroutines for Linear Algebra 74 BLAS Jack Dongarra, Victor Eijkhout, and Julien Langou .74-1 75 LAPACK Zhaojun Bat, James Demmel, Jack Dongarra, Julien Langou, and Jenny Wang .75-1 76 Use of ARPACK and EIGS D. C. Sorensen .76-1 77 Summary of Software for Linear Algebra Freely Available on the Web Jack Dongarra, Victor Eijkhout, and Julien Langou .77-1 Glossary . G-l Notation Index . N-l Index .1-1
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spellingShingle	Handbook of linear algebra Algèbre linéaire Lineaire algebra gtt Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd
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title	Handbook of linear algebra
title_auth	Handbook of linear algebra
title_exact_search	Handbook of linear algebra
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title_full	Handbook of linear algebra ed. by Leslie Hogben
title_fullStr	Handbook of linear algebra ed. by Leslie Hogben
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title_short	Handbook of linear algebra
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topic	Algèbre linéaire Lineaire algebra gtt Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd
topic_facet	Algèbre linéaire Lineaire algebra Algebras, Linear Lineare Algebra
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