Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, this book contains all the material necessary for a graduate course on numerical linear algebra and numerous applications to engineering and science used in industry. Presenting a unified presentation of computation, basic algorithm analysis and numerical methods to compute solutions, Numerical Linear Algebra with Applications is ideal for solving real-world, practical problems. This reference provides necessary mathematical background information for those who want to learn to solve linear algebra problems using the programming language Matlab, in addition to offering a thorough explanation of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition for practical use. * The most detailed explanations and examples in the field* Real research examples and results for best practice* A wide range of practical applications to help solve a wide variety of engineering problems using MATLAB* Examples from scientific engineering applications INDICE: 1. Matrices 2. Linear equations3. Subspaces4. Determinants5. Eigenvalues and eigenvectors6. Orthogonal vectors and matrices7. Vector and matrix norms8. Gram-schmidt orthogonalization9. The singular value decomposition10. Algorithms11. Floating point arithmetic12. Conditioning of problems and stability of algorithms13. Gaussian elimination and the lufactorization14. Linear system applications15. Important special systems16. Implementing the qr factorization17. Least-squares problems18. Iterative methods19. The algebraic eigenvalue problem20. The symmetric eigenvalue problem21. Computing the singular value decomposition22. Introduction to parallel algorithms23. Advanced Matlab Functions
- ISBN: 978-0-12-394435-1
- Editorial: Academic Press
- Encuadernacion: Cartoné
- Páginas: 592
- Fecha Publicación: 13/07/2014
- Nº Volúmenes: 1
- Idioma: Inglés