G W Stewart

Matrix Algorithms: Volume 1, Basic Decompositions

• Broschiertes Buch

Produktbeschreibung

This thorough, concise, and superbly written volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions–that is, the factorization of matrices into products of similar ones.

Produktdetails

• Verlag: Society for Industrial and Applied Mathematics (SIAM)
• Seitenzahl: 184
• Erscheinungstermin: 1. August 1998
• Englisch
• Abmessung: 228mm x 152mm x 25mm
• Gewicht: 821g
• ISBN-13: 9780898714142
• ISBN-10: 0898714141
• Artikelnr.: 42347321

Inhaltsangabe

1. Algorithms
2. Notation
3. Preface
4. Chapter 1: Matrices, Algebra, and Analysis. Vectors
5. Matrices
6. Linear Algebra
7. Analysis
8. Addenda
9. Chapter 2: Matrices and Machines. Pseudocode
10. Triangular Systems
11. Matrices in Memory
12. Rounding Error
13. Chapter 3: Gaussian Elimination. Gaussian Elimination
14. A Most Versatile Algorithm
15. The Sensitivity of Linear Systems
16. The Effects of Rounding Error
17. Chapter 4: The QR Decomposition and Least Squares. The QR Decomposition
18. Linear Least Squares
19. Updating
20. Chapter 5: Rank-Reducing Decompositions. Fundamental Subspaces and Rank
Estimation
21. Pivoted Orthogonal Triangularization
22. Norm and Condition Estimation
23. UTV Decompositions
24. References
25. Index.