Matrix partial orders, shorted operators and applications [[electronic resource] /] / Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik
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| Autore: |
Mitra Sujit Kumar
|
| Titolo: |
Matrix partial orders, shorted operators and applications [[electronic resource] /] / Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik
|
| Pubblicazione: | Singapore ; ; Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica: | 1 online resource (464 p.) |
| Disciplina: | 515.7246 |
| Soggetto topico: | Matrices |
| Linear operators | |
| Altri autori: |
BhimasankaramP
MalikSaroj B
|
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Preface; Acknowledgements; Glossary of Symbols and Abbreviations; Contents; 1. Introduction; 2. Matrix Decompositions 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 L ̈owner 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 Appendix A Relations and Partial Orders; Bibliography; Index | |
| Sommario/riassunto: | The present monograph on matrix partial orders, appearing for the first time, is a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and applied scientists for their wide-ranging application potential. Except for the Lowner order, the partial orders considered are relatively new and came into being in the late 1970's. After a detailed introduction to generalized inverses and decompositions, the three basic partial orders - namely, the minus, the sharp and the star - and the corresponding one-sided orders are presented using various... |
| Titolo autorizzato: | Matrix partial orders, shorted operators and applications |
| ISBN: | 1-282-75761-X |
| 9786612757617 | |
| 981-283-845-7 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910780881403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Series in algebra ; ; v. 10.