# Numerical linear algebra with applications :

Material type: TextPublication details: London ; San Diego, CA : Academic Press, ©2015Edition: 1st editionDescription: 602 pagesISBN: 9780123944351Subject(s): Algebras, Linear | Numerical calculations | MATLABDDC classification: 512.5Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Reference Books | Main Library Reference | Reference | 512.5 FOR (Browse shelf(Opens below)) | Available | 015284 |

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512.24 PIE Associative Algebras | 512.5 BHA First course in linear algebra | 512.5 DET Introduction to linear algebra and differential equations | 512.5 FOR Numerical linear algebra with applications : | 512.5 GUP Linear Algebra: A Course in Finite Dimensional Vector Spaces | 512.5 HOF Linear Algebra | 512.5 KLE Understanding linear algebra using MATLAB / |

includes index

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.

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.

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