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Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to James Wilkinson, the first giant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights. Stewart’s results on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewart’s papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize. Key features of this volume include: * Forty-four of Stewart’s most influential research papers in two subject areas: matrix algorithms and rounding and perturbation theory * A biography of Stewart * A complete list of Stewart’s publications, students, and honors * Selected photographs * Commentaries on Stewart’s works in collaboration with leading experts in the field G.W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.

Algebra --- Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- Computer science --- Computer. Automation --- History --- algebra --- ICT (informatie- en communicatietechnieken) --- toegepaste wiskunde --- matrices --- computers --- economie --- geschiedenis --- informatica --- wiskunde --- algoritmen --- ingenieurswetenschappen

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Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to James Wilkinson, the first giant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights. Stewart’s results on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem broke new ground and are still widely used in an increasing number of applications. Stewart’s papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize. Key features of this volume include: * Forty-four of Stewart’s most influential research papers in two subject areas: matrix algorithms and rounding and perturbation theory * A biography of Stewart * A complete list of Stewart’s publications, students, and honors * Selected photographs * Commentaries on Stewart’s works in collaboration with leading experts in the field G.W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.

Algebras, Linear. --- Algebras, Linear --- Perturbation (Mathematics) --- Matrices --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Mathematics. --- Math --- Matrix theory. --- Algebra. --- Computer mathematics. --- Algorithms. --- History. --- Applied mathematics. --- Engineering mathematics. --- History of Mathematical Sciences. --- Linear and Multilinear Algebras, Matrix Theory. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Science --- Computer science --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algorism --- Arithmetic --- Foundations --- Annals --- Auxiliary sciences of history --- Stewart, G. W. --- Stewart, Gilbert W. --- Stewart, Pete

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This text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. Including commentaries by leading experts and a brief biography, this book will be of great interest to students and researchers in numerical analysis and scientific computation.

Matrices. --- Linear systems. --- Systems, Linear --- Differential equations, Linear --- System theory --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Golub, Gene H. --- Golub, Gene Howard, --- Golub, G. H. --- Numerical analysis --- Matrices --- Mathematical analysis --- Numerical analysis. --- Contributions in numerical analysis.