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Book Cover
E-book
Author Mitra, Sujit Kumar.

Title Matrix partial orders, shorted operators and applications / Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik
Published New Jersey : World Scientific, ©2010

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Description 1 online resource (xvii, 446 pages) : illustrations
Series Series in algebra ; v. 10
Series in algebra ; v. 10.
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.
Linear operators.
MATHEMATICS -- Algebra -- Intermediate.
Linear operators
Matrices
Form Electronic book
Author Bhimasankaram, P.
Malik, Saroj B.
ISBN 9789812838452
9812838457