Handbook of linear algebra /
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| Other Authors: | |
|---|---|
| Format: | TaylorFrancis (2004-2022) |
| Language: | English |
| Published: |
Boca Raton :
Chapman & Hall/CRC,
2007.
|
| Series: | Discrete mathematics and its applications
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| Subjects: | |
| Online Access: | Click here to view. |
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| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | 9780429138492 | ||
| 008 | 180331s2007 flua ob 001 0 eng d | ||
| 020 | |a 9780429138492 |q (e-book : PDF) | ||
| 020 | |z 9781584885108 |q (hardback) | ||
| 024 | 7 | |a 10.1201/9781420010572 |2 doi | |
| 035 | |a (OCoLC)231756218 | ||
| 050 | 4 | |a QA184.2 |b .H36 2007 | |
| 082 | 0 | 4 | |a 512.5 |b H236 |
| 245 | 0 | 0 | |a Handbook of linear algebra / |c edited by Leslie Hogben ; associate editors, Richard Brualdi, Anne Greenbaum, Roy Mathias. |
| 264 | 1 | |a Boca Raton : |b Chapman & Hall/CRC, |c 2007. | |
| 300 | |a 1 online resource (1400 pages) | ||
| 490 | 0 | |a Discrete mathematics and its applications | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | 0 | |t chapter Part I. Linear Algebra -- |t chapter Basic Linear Algebra -- |t chapter 1 Vectors, Matrices, and Systems of Linear Equations -- |t chapter 2 Linear Independence, Span, and Bases -- |t chapter 3 Linear Transformations -- |t chapter 4 Determinants and Eigenvalues -- |t chapter 5 Inner Product Spaces, Orthogonal Projection, Least Squares, and Singular Value Decomposition -- |t chapter Matrices with Special Properties -- |t chapter 6 Canonical Forms -- |t chapter 7 Unitary Similarity, Normal Matrices, and Spectral Theory -- |t chapter 8 Hermitian and Positive Definite Matrices -- |t chapter 9 Nonnegative Matrices and Stochastic Matrices -- |t chapter 10 Partitioned Matrices -- |t chapter Advanced Linear Algebra -- |t chapter 11 Functions of Matrices -- |t chapter 12 Quadratic, Bilinear, and Sesquilinear Forms -- |t chapter 13 Multilinear Algebra -- |t chapter 14 Matrix Equalities and Inequalities -- |t chapter 15 Matrix Perturbation Theory -- |t chapter 16 Pseudospectra -- |t chapter 17 Singular Values and Singular Value Inequalities -- |t chapter 18 Numerical Range -- |t chapter 19 Matrix Stability and Inertia -- |t chapter Topics in Advanced Linear Algebra -- |t chapter 20 Inverse Eigenvalue Problems -- |t chapter 21 Totally Positive and Totally Nonnegative Matrices -- |t chapter 22 Linear Preserver Problems -- |t chapter 23 Matrices over Integral Domains -- |t chapter 24 Similarity of Families of Matrices -- |t chapter 25 Max-Plus Algebra -- |t chapter 26 Matrices Leaving a Cone Invariant -- |t chapter Part II. Combinatorial Matrix Theory and Graphs -- |t chapter Martices and Graphs -- |t chapter 27 Combinatorial Matrix Theory -- |t chapter 28 Matrices and Graphs -- |t chapter 29 Digraphs and Matrices -- |t chapter 30 Bipartite Graphs and Matrices -- |t chapter Topics in Combinatorial Matrix Theory -- |t chapter 31 Permanents -- |t chapter 32 D-Optimal Matrices -- |t chapter 33 Sign Pattern Matrices -- |t chapter 34 Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph -- |t chapter 35 Matrix Completion Problems -- |t chapter 36 Algebraic Connectivity -- |t chapter Part III. Numerical Methods -- |t chapter Numerical Methods for Linear Systems -- |t chapter 37 Vector and Matrix Norms, Error Analysis, Efficiency, and Stability -- |t chapter 38 Matrix Factorizations and Direct Solution of Linear Systems -- |t chapter 39 Least Squares Solution of Linear Systems -- |t chapter 40 Sparse Matrix Methods -- |t chapter 41 Iterative Solution Methods for Linear Systems -- |t chapter Numerical Methods for Eigenvalues -- |t chapter 42 Symmetric Matrix Eigenvalue Techniques -- |t chapter 43 Unsymmetric Matrix Eigenvalue Techniques -- |t chapter 44 The Implicitly Restarted Arnoldi Methods -- |t chapter 45 Computation of the Singular Value Decomposition -- |t chapter 46 Computing Eigenvalues and Singular Values to High Relative Accuracy -- |t chapter Computational Linear Algebra -- |t chapter 47 Fast Matrix Multiplication -- |t chapter 48 Structured Matrix Computations -- |t chapter 49 Large-Scale Matrix Computations -- |t chapter Part IV. Applications -- |t chapter Applications to Optimization -- |t chapter 50 Linear Programming -- |t chapter 51 Semidefinite Programming -- |t chapter Applications to Probability and Statistics -- |t chapter 52 Random Vectors and Linear Statistical Models -- |t chapter 53 Multivariate Statistical Analysis -- |t chapter 54 Markov Chains -- |t chapter Applications to Analysis -- |t chapter 55 Differential Equations and Stability -- |t chapter 56 Dynamical Systems and Linear Algebra -- |t chapter 57 Control Theory -- |t chapter 58 Fourier Analysis -- |t chapter Applications to Physical and Biological Sciences -- |t chapter 59 Linear Algebra and Mathematical Physics -- |t chapter 60 Linear Algebra in Biomolecular Modeling -- |t chapter Applications to Computer Science -- |t chapter 61 Coding Theory -- |t chapter 62 Quantum Computation -- |t chapter 63 Information Retrieval and Web Search -- |t chapter Chapte 64. Signal Processing -- |t chapter Applications to Geometry -- |t chapter 65 Geometry -- |t chapter 66 Some Applications of Matrices and Graphs in Euclidean Geometry -- |t chapter Applications to Algebra -- |t chapter 67 Matrix Groups -- |t chapter 68 Group Representations -- |t chapter 69 Nonassociative Algebras -- |t chapter 70 Lie Algebras -- |t chapter Part V. Computational Software -- |t chapter Interactive Software for Linear Algebra -- |t chapter 71 Matlab -- |t chapter 72 Linear Algebra in Maple -- |t chapter 73 Mathematica -- |t chapter Packages of Subroutines for Linear Algebra -- |t chapter 74 BLAS -- |t chapter 75 LAPACK / |r Zhaojun Bai, James Demmel, Jack Dongarra, Julien Langou, and Jenny Wang. 75-1 -- |t chapter 76 Use of ARPACK and EIGS -- |t chapter 77 Summary of Software for Linear Algebra Freely Available on the Web. |
| 650 | 0 | |a Algebras, Linear. | |
| 700 | 1 | |a Hogben, Leslie. | |
| 776 | 0 | 8 | |i Print version: |z 9781584885108 |w (DLC) 2006045491 |
| 856 | 4 | 0 | |u https://www.taylorfrancis.com/books/9781420010572 |z Click here to view. |