作者:
出版社:
SIAM: Society for Industrial and Applied Mathematics
出版年:
1997-06-01
页数:
361
定价:
USD 61.00
装帧:
Paperback
ISBN:
9780898713619
评分
5星
61.1%
4星
30.6%
3星
8.3%
2星
0%
1星
0%
内容简介
Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.
目录
Preface; Part I. Fundamental: 1. Matrix-vector multiplication; 2. Orthogonal vectors and matrices...
Preface; Part I. Fundamental: 1. Matrix-vector multiplication; 2. Orthogonal vectors and matrices; 3. Norms; 4. The singular value decomposition; 5. More on the SVD; Part II. QR Factorization and Least Squares: 6. Projectors; 7. QR factorization; 8. Gram-Schmidt orthogonalization; 9. MATLAB; 10. Householder triangularization; 11. Least squares problems; Part III. Conditioning and Stability: 12. Conditioning and condition numbers; 13. Floating point arithmetic; 14. Stability; 15. More on stability; 16. Stability of householder triangularization; 17. Stability of back substitution; 18. Conditioning of least squares problems; 19. Stability of least squares algorithms; Part IV. Systems of Equations: 20. Gaussian elimination; 21. Pivoting; 22. Stability of Gaussian elimination; 23. Cholesky factorization; Part V. Eigenvalues: 24. Eigenvalue problems; 25. Overview of Eigenvalue algorithms; 26. Reduction to Hessenberg or tridiagonal form; 27. Rayleigh quotient, inverse iteration; 28. QR algorithm without shifts; 29. QR algorithm with shifts; 30. Other Eigenvalue algorithms; 31. Computing the SVD; Part VI. Iterative Methods: 32. Overview of iterative methods; 33. The Arnoldi iteration; 34. How Arnoldi locates Eigenvalues; 35. GMRES; 36. The Lanczos iteration; 37. From Lanczos to Gauss quadrature; 38. Conjugate gradients; 39. Biorthogonalization methods; 40. Preconditioning; Appendix; Notes; Bibliography; Index.
该书热门标签
您对《Numerical Linear Algebra》有什么评价吗,点击右上角“我想说两句”,说出你的看法吧。
有什么“读后感”吗?您可点击右上角“我要写长评”来进行评价噢。
猜您喜欢读
网友关注
网友关注
精品推荐
分类导航
评价“Numerical Linear Algebra”