Description |
1 online resource (xvii, 446 pages) : illustrations |
Series |
Series in algebra ; v. 10 |
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Series in algebra ; v. 10.
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Contents |
Preface; Acknowledgements; Acknowledgements; Glossary of Symbols and Abbreviations; Glossary of Symbols and Abbreviations; Contents; Contents; 1. Introduction; 1. Introduction; 2. Matrix Decompositions and Generalized Inverses; 2. Matrix Decompositions and Generalized Inverses; 3. The Minus Order; 3. The Minus Order; 4. The Sharp Order; 4. The Sharp Order; 5. The Star Order; 5. The Star Order; 6. One-Sided Orders; 6. One-Sided Orders; 7. Unified Theory of Matrix Partial Orders through Generalized Inverses; 7. Unified Theory of Matrix Partial Orders through Generalized Inverses |
Summary |
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 1970s. 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 gener |
Bibliography |
Includes bibliographical references (pages 439-443) and index |
Notes |
Print version record |
Subject |
Matrices.
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Linear operators.
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MATHEMATICS -- Algebra -- Intermediate.
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Linear operators
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Matrices
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Form |
Electronic book
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Author |
Bhimasankaram, P.
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Malik, Saroj B.
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ISBN |
9789812838452 |
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9812838457 |
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