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Record Nr. |
UNINA9910780881403321 |
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Autore |
Mitra Sujit Kumar |
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Titolo |
Matrix partial orders, shorted operators and applications [[electronic resource] /] / Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik |
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Pubbl/distr/stampa |
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Singapore ; ; Hackensack, N.J., : World Scientific, c2010 |
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ISBN |
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1-282-75761-X |
9786612757617 |
981-283-845-7 |
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Descrizione fisica |
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1 online resource (464 p.) |
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Collana |
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Series in algebra ; ; v. 10 |
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Altri autori (Persone) |
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BhimasankaramP |
MalikSaroj B |
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Disciplina |
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Soggetti |
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Matrices |
Linear operators |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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