Numerical linear algebra with applications using MATLAB / by William Ford, Department of Computer Science, University of the Pacific.
| Author/creator | Ford, William H. |
| Format | Electronic |
| Edition | First edition. |
| Publication Info | London, UK ; San Diego, CA, USA : Elsevier/AP, Academic Press is an imprint of Elsevier, [2015] |
| Description | xxvi, 602 pages : illustrations ; 29 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Supplemental Content | Full text available from eBook - Mathematics 2014 [EBCM14] |
| Subjects |
| Contents | 1. Matrices -- 2. Linear equations -- 3. Subspaces -- 4. Determinants -- 5. Eigenvalues and eigenvectors -- 6. Orthogonal vectors and matrices -- 7. Vector and matrix norms -- 8. Floating point arithmetic -- 9. Algorithms -- 10. Conditioning of problems and stability of algorithms -- 11. Gaussian elimination and the LU decomposition -- 12. Linear system applications -- 13. Important special systems -- 14. Gram-Schmidt orthonormalization -- 15. The singular value decomposition -- 16. Least-square problems -- 17. Implementing the QR decomposition -- 18. The algebraic eigenvalue problem -- 19. The symmetric eigenvalue problem -- 20. Basic iterative methods -- 21. Krylov subspace methods -- 22. Large sparse eigenvalue problems -- 23. Computing the singular value decomposition -- A. Complex numbers -- B. Mathematical induction -- C. Chebyshev polynominals. |
| Summary | Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a graduate course on numerical linear algebra and numerous applications to engineering and science used in industry. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for those who want to learn to solve linear algebra problems using MATLAB, and offers a thorough explanation of the issues and methods for practical computation, avoiding an extensive theorem-proof type of exposition for practical use.-- Source other than Library of Congress. |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2014947097 |
| ISBN | 9780123944351 |
| ISBN | 012394435X |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |