TY - BOOK AU - Ford,William TI - Numerical linear algebra with applications: using MATLAB SN - 9780123944351 U1 - M 512.5 F711 2015 PY - 2015/// CY - London, UK PB - Elsevier/AP, Academic Press is an imprint of Elsevier KW - Algebras, Linear KW - Numerical calculations KW - MATLAB KW - Problems, exercises, etc N1 - Includes bibliographical references and 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 ER -