Mitra, Sujit Kumar.
Matrix partial orders, shorted operators and applications / Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik.
— New Jersey : World Scientific, c2010. xvii, 446 p. : il. ; 24 cm. — (Series in algebra ; v. 10)
Incluye referencias bibliográficas (p. 439-443) e índice.
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.
ISBN 9789812838445 (hbk.). — ISBN 9812838449 (hbk.)
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