Matrix partial orders, shorted operators and applications
Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik.
New Jersey : World Scientific, ©2010.
xvii, 446 págs. : ilustraciones ; 24 cm.
Serie: Series in algebra ; v. 10
ISBN: 9789812838445 (hbk.), 9812838449 (hbk.)
Incluye referencias bibliográficas (p. 439-443) e índice.
Reseña: MathSciNet, 2011j:47063
Contenido
- 1. Introduction
- 2. Matrix decompostions and generalized inverses
- 3. The minus order
- 4. The sharp order
- 5. The star order
- 6. One-sided orders
- 7. Unified theory of matrix partial orders through generalized inverses
- 8. The Löwner order
- 9. Parallel sums
- 10. Schur complements and shorted operators
- 11. Shorted operators - other approaches
- 12. Lattice properties of partial orders
- 13. Partial orders of modified matrices
- 14. Equivalence relations on generalized and outer inverses
- 15. Applications
- 16. Some open problems.
