Matrix analysis and computations. (English) Zbl 07417710
Other Titles in Applied Mathematics 173. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-662-5/pbk; 978-1-61197-663-2/ebook). x, 486 p. (2021).
Preliminary review / Publisher’s description: This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter.
Matrix Analysis and Computations provides readers with:
Matrix Analysis and Computations provides readers with:
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- the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations,
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- systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, and
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- current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems.
MSC:
65-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis |
15-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra |
65Fxx | Numerical linear algebra |
15Axx | Basic linear algebra |