Numerical linear algebra with applications
Ford, William.
creator
text
London
San Diego, CA
Academic Press
©2015
1st edition.
monographic
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.
includes index
Algebras, Linear
Numerical calculations
MATLAB
512.5 FOR
9780123944351