Handbook of Linear Algebra
Handbook of Linear Algebra
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DOI：
10.1201/9781420010572
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
L. Hogben
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文献类型：
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作者：
L. Hogben
线性代数线性代数向量、矩阵和线性方程组Jane Day线性独立性、跨度和基Mark米尔斯线性变换Francesco Barioli行列式和特征值Luz M. DeAlba内积空间、正交投影、最小二乘和奇异值分解李兴汉和迈克尔·诺依曼标准形式莱斯利·霍格本其他标准形式罗杰A。Horn和弗拉基米尔V. Sergeichuk酉相似、正规矩阵和谱理论Helene Shapiro Hermitian和正定矩阵韦恩巴雷特非负和随机矩阵Uriel G. Rothblum分块矩阵Robert Reams线性代数中的主题Schur补充Roger A. Horn和Fuzhen Zhang二次、双线性和半双线性形式。Dias da Silva和Armando马查多张量和超矩阵Lek-Heng Lim矩阵等式和不等式Michael Tsatsomeros矩阵函数Nicholas J.希格姆矩阵多项式Jorg Liesen和Christian Mehl矩阵方程Beatrice Meini不变子空间G.W. Stewart矩阵扰动理论李仁仓特殊类型的矩阵Albrecht Bottcher和Ilya Spitkovsky伪谱Mark Embree奇异值和奇异值不等式Roy Mathias数值域Chi-Kwong Li矩阵的稳定性和惯性丹尼尔Hershkowitz矩阵的广义逆魏益民逆特征值问题Alberto Borobia完全正和完全非负矩阵Shaun M.有限域上的线性保持问题。整环上的博塔矩阵Shmuel Friedland矩阵族的相似性Shmuel Friedland箭图和混合图的表示。Horn和弗拉基米尔V. Sergeichuk Max-Plus代数Marianne Akian，Ravindra Bapat，and Stephane Gaubert矩阵离开一个锥不变位-Shun Tam和Hans Schneider谱集Catalin Badea和Bernhard Beckermann组合矩阵理论和图组合矩阵理论组合矩阵理论Richard A. Brualdi矩阵与图Haemers有向图与矩阵。Stuart二部图与矩阵。着色器符号模式矩阵。Wanless D-最优矩阵作者声明：William Watkins T.S.图的最小秩、最大零度和迫零数。谱图理论、代数连通性、柯克兰矩阵完备问题。DeAlba，Leslie Hogben，and Amy Wangsness Wehe数值方法线性系统的数值方法向量和矩阵范数，误差分析，效率和稳定性Ralph Byers and Biswa Nath Datta矩阵分解和线性系统的直接解Christopher Beattie线性系统的最小二乘解Per Christian汉森and Hans Bruun Nielsen稀疏矩阵方法埃斯蒙德G.线性方程组的迭代解法特征值的数值方法对称矩阵特征值技巧Ivan Slapnicar非对称矩阵特征值技巧大卫S。Watkins隐式重新启动Arnoldi方法奇异值分解的D.C. Sorensen计算。Dhillon计算特征值和奇异值以达到高相对精度Zlatko Drmac非线性特征值问题Heinrich Voss数值线性代数快速矩阵乘法Dario A.结构矩阵计算的Bini快速算法|结构保持算法，结构误差分析。Freund线性代数在其他学科中的应用物理和生物科学线性代数和数学物理Lorenzo Sadun线性代数在生物分子建模中的应用Zhijun Wu线性代数在数学人口生物学和流行病学中的应用Fred Brauer和卡洛斯Castillo-Chavez在优化线性规划中的应用Leonid N.半定规划在概率统计中的应用随机向量和线性统计模型Simo Puntanen和George P.H. Styan多元统计分析Simo Puntanen，乔治A.F. Seber和乔治P.H. Styan马尔可夫链Beatrice Meini应用于计算机科学编码理论Joachim Rosenthal和Paul Weiner量子计算Zijian Diao算子量子纠错Chi-Kwong Li，Yiu-Tung Poon，and Nung-Sing Sze信息检索和Web搜索Amy N. Langville和Carl D. Meyer信号处理Michael Stewart微分方程和稳定性分析的应用Volker Mehrmann和Tatjana Stykel动力系统和线性代数Fritz Colonius和Wolfgang Kliemann控制理论Peter Benner傅立叶分析Kenneth豪厄尔几何的应用Mark Hunacek欧几里得几何中矩阵和图形的一些应用Miroslav Fiedler代数矩阵群的应用Peter J.卡梅隆群表示Randall R. Holmes与Tin-Yau Tam非结合代数Bremner，Lucia I.李代数计算软件线性代数的交互式软件MATLAB史蒂芬J莱昂线性代数在枫树大卫J杰弗里和罗伯特M。罗伯特·A. Beezer，Robert Bradshaw，Jason Grout，and William Stein Packages of Subroutines for Linear Algebra BLAS Jack Dongarra，维克托Eijkhout，and Julien Langou LAPACK白兆军，James Demmel，Jack Dongarra，Julien Langou，and Jenny Wang使用ARPACK和EIGS D.C. Sorensen网上免费提供的线性代数软件摘要Jack Dongarra，维克托Eijkhout，and Julien Langou词汇表表示法索引
Linear Algebra Linear Algebra Vectors, Matrices, and Systems of Linear Equations Jane Day Linear Independence, Span, and Bases Mark Mills Linear Transformations Francesco Barioli Determinants and Eigenvalues Luz M. DeAlba Inner Product Spaces, Orthogonal Projection, Least Squares, and Singular Value Decomposition Lixing Han and Michael Neumann Canonical Forms Leslie Hogben Other Canonical Forms Roger A. Horn and Vladimir V. Sergeichuk Unitary Similarity, Normal Matrices, and Spectral Theory Helene Shapiro Hermitian and Positive Definite Matrices Wayne Barrett Nonnegative and Stochastic Matrices Uriel G. Rothblum Partitioned Matrices Robert Reams Topics in Linear Algebra Schur Complements Roger A. Horn and Fuzhen Zhang Quadratic, Bilinear, and Sesquilinear Forms Raphael Loewy Multilinear Algebra J.A. Dias da Silva and Armando Machado Tensors and Hypermatrices Lek-Heng Lim Matrix Equalities and Inequalities Michael Tsatsomeros Functions of Matrices Nicholas J. Higham Matrix Polynomials Jorg Liesen and Christian Mehl Matrix Equations Beatrice Meini Invariant Subspaces G.W. Stewart Matrix Perturbation Theory Ren-Cang Li Special Types of Matrices Albrecht Bottcher and Ilya Spitkovsky Pseudospectra Mark Embree Singular Values and Singular Value Inequalities Roy Mathias Numerical Range Chi-Kwong Li Matrix Stability and Inertia Daniel Hershkowitz Generalized Inverses of Matrices Yimin Wei Inverse Eigenvalue Problems Alberto Borobia Totally Positive and Totally Nonnegative Matrices Shaun M. Fallat Linear Preserver Problems Peter Semrl Matrices over Finite Fields J. D. Botha Matrices over Integral Domains Shmuel Friedland Similarity of Families of Matrices Shmuel Friedland Representations of Quivers and Mixed Graphs Roger A. Horn and Vladimir V. Sergeichuk Max-Plus Algebra Marianne Akian, Ravindra Bapat, and Stephane Gaubert Matrices Leaving a Cone Invariant Bit-Shun Tam and Hans Schneider Spectral Sets Catalin Badea and Bernhard Beckermann Combinatorial Matrix Theory and Graphs Combinatorial Matrix Theory Combinatorial Matrix Theory Richard A. Brualdi Matrices and Graphs Willem H. Haemers Digraphs and Matrices Jeffrey L. Stuart Bipartite Graphs and Matrices Bryan L. Shader Sign Pattern Matrices Frank J. Hall and Zhongshan Li Topics in Combinatorial Matrix Theory Permanents Ian M. Wanless D-Optimal Matrices Michael G. Neubauer and William Watkins Tournaments T.S. Michael Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs Shaun M. Fallat and Leslie Hogben Spectral Graph Theory Steve Butler and Fan Chung Algebraic Connectivity Steve Kirkland Matrix Completion Problems Luz M. DeAlba, Leslie Hogben, and Amy Wangsness Wehe Numerical Methods Numerical Methods for Linear Systems Vector and Matrix Norms, Error Analysis, Efficiency, and Stability Ralph Byers and Biswa Nath Datta Matrix Factorizations and Direct Solution of Linear Systems Christopher Beattie Least Squares Solution of Linear Systems Per Christian Hansen and Hans Bruun Nielsen Sparse Matrix Methods Esmond G. Ng Iterative Solution Methods for Linear Systems Anne Greenbaum Numerical Methods for Eigenvalues Symmetric Matrix Eigenvalue Techniques Ivan Slapnicar Unsymmetric Matrix Eigenvalue Techniques David S. Watkins The Implicitly Restarted Arnoldi Method D.C. Sorensen Computation of the Singular Value Decomposition Alan Kaylor Cline and Inderjit S. Dhillon Computing Eigenvalues and Singular Values to High Relative Accuracy Zlatko Drmac Nonlinear Eigenvalue Problems Heinrich Voss Topics in Numerical Linear Algebra Fast Matrix Multiplication Dario A. Bini Fast Algorithms for Structured Matrix Computations Michael Stewart Structured Eigenvalue Problems | Structure-Preserving Algorithms, Structured Error Analysis Heike Fassbender Large-Scale Matrix Computations Roland W. Freund Linear Algebra in Other Disciplines Applications to Physical and Biological Sciences Linear Algebra and Mathematical Physics Lorenzo Sadun Linear Algebra in Biomolecular Modeling Zhijun Wu Linear Algebra in Mathematical Population Biology and Epidemiology Fred Brauer and Carlos Castillo-Chavez Applications to Optimization Linear Programming Leonid N. Vaserstein Semidefinite Programming Henry Wolkowicz Applications to Probability and Statistics Random Vectors and Linear Statistical Models Simo Puntanen and George P.H. Styan Multivariate Statistical Analysis Simo Puntanen, George A.F. Seber, and George P.H. Styan Markov Chains Beatrice Meini Applications to Computer Science Coding Theory Joachim Rosenthal and Paul Weiner Quantum Computation Zijian Diao Operator Quantum Error Correction Chi-Kwong Li, Yiu-Tung Poon, and Nung-Sing Sze Information Retrieval and Web Search Amy N. Langville and Carl D. Meyer Signal Processing Michael Stewart Applications to Analysis Differential Equations and Stability Volker Mehrmann and Tatjana Stykel Dynamical Systems and Linear Algebra Fritz Colonius and Wolfgang Kliemann Control Theory Peter Benner Fourier Analysis Kenneth Howell Applications to Geometry Geometry Mark Hunacek Some Applications of Matrices and Graphs in Euclidean Geometry Miroslav Fiedler Applications to Algebra Matrix Groups Peter J. Cameron Group Representations Randall R. Holmes and Tin-Yau Tam Nonassociative Algebras Murray R. Bremner, Lucia I. Murakami, and Ivan P. Shestakov Lie Algebras Robert Wilson Computational Software Interactive Software for Linear Algebra MATLAB Steven J. Leon Linear Algebra in Maple David J. Jeffrey and Robert M. Corless Mathematica Heikki Ruskeep'a'a Sage Robert A. Beezer, Robert Bradshaw, Jason Grout, and William Stein Packages of Subroutines for Linear Algebra BLAS Jack Dongarra, Victor Eijkhout, and Julien Langou LAPACK Zhaojun Bai, James Demmel, Jack Dongarra, Julien Langou, and Jenny Wang Use of ARPACK and EIGS D.C. Sorensen Summary of Software for Linear Algebra Freely Available on the Web Jack Dongarra, Victor Eijkhout, and Julien Langou Glossary Notation Index Index