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Numerical Linear Algebra: Theory and Applications / by Larisa Beilina, Evgenii Karchevskii, Mikhail Karchevskii
版 | 1st ed. 2017. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2017 |
大きさ | XIV, 450 p. 15 illus., 14 illus. in color : online resource |
著者標目 | *Beilina, Larisa author Karchevskii, Evgenii author Karchevskii, Mikhail author SpringerLink (Online service) |
件 名 | LCSH:Algebras, Linear FREE:Linear Algebra |
一般注記 | Preface -- 1. Preliminaries -- 2. Vector Spaces -- 3. Inner Product Spaces -- 4. Linear Operators -- 5. Canonical Forms and Factorizations -- 6. Vector and Matrix Norms -- 7. Elements of the Perturbation Theory -- 8. Solving Systems of Linear Equations -- 9. Numerical solution of Linear Least Squares Problems -- 10. Algorithms for the Nonsymmetric Eigenvalue Problem -- 11. Algorithms for Solution of Symmetric Eigenvalue problem -- 12. Introduction to Iterative Methods for Solution of Linear Systems -- A. Matlab Programs -- References This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems.Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigen problems.Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems.Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level HTTP:URL=https://doi.org/10.1007/978-3-319-57304-5 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319573045 |
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電子リソース |
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EB00201226 |
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※2017年9月4日以降