| Description |
1 online resource (xxvi, 602 pages) |
|
text file |
| Note |
Includes index. |
| Bibliography |
Includes bibliographical references and index. |
| 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 first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. 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. |
| 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. |
| Language |
English. |
| Subject |
MATLAB.
|
|
MATLAB |
|
Algebras, Linear.
|
|
Numerical calculations.
|
|
Algèbre linéaire. |
|
Calculs numériques. |
|
Algebras, Linear |
|
Numerical calculations |
| Other Form: |
Print version: Ford, William. Numerical linear algebra with applications. First edition. 9780123944351 |
| ISBN |
0123947847 (electronic bk.) |
|
9780123947840 (electronic bk.) |
|
012394435X |
|
9780123944351 |
|
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