Functions of matrices : theory and computation
Nicholas J. Higham.
Philadelphia : Society for Industrial and Applied Mathematics, ©2008.
xx, 425 págs. : ilustraciones ; 26 cm.
ISBN: 9780898716467 (pbk. : alk. paper), 0898716462 (pbk. : alk. paper)
Incluye referencias bibliográficas (p. 379-413) e índice.
Reseña: MathSciNet, 2009b:15001
Contenido
- 1. Theory of matrix functions
- 2. Applications
- 3. Conditioning
- 4. Techniques for general functions
- 5. Matrix sign function
- 6. Matrix square root
- 7. Matrix pth root
- 8. The polar decomposition
- 9. Schur-Parlett algorithm
- 10. Matrix exponential
- 11. Matrix logarithm
- 12. Matrix cosine and sine
- 13. Function of matrix times vector: f(A)b
- 14. Miscellany.