Ford, William creator author. text bibliography Electronic books. Electronic books. enk 2015 2015 1st ed. monographic eng

electronic resource

1 online resource (xxvi, 602 pages) 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. 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. by William Ford. Includes index. Includes bibliographical references and index. Algebras, Linear Numerical calculations MATHEMATICS Algebra Intermediate Algebras, Linear Numerical calculations QA184.2 .F67 2015 512/.5 Ford, William. First edition. 0123947847 9780123947840 012394435X 9780123944351 http://www.sciencedirect.com/science/book/9780123944351 http://www.sciencedirect.com/science/book/9780123944351 YDXCP 140925 20190328114808.0 ocn891671192 eng