Numerical linear algebra with applications :

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