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MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra) Hardback - 2010
by Al Sujit Kumar Mitra Et
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- Hardback
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Details
- Title MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra)
- Author Al Sujit Kumar Mitra Et
- Binding Hardback
- Condition Used - Good
- Pages 464
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company, U.S.A
- Publication date 2010-05-30
- Features Bibliography, Index, Table of Contents
- Bookseller's Inventory # 9812838449.G
- ISBN 9789812838445 / 9812838449
- Weight 1.75 lbs (0.79 kg)
- Dimensions 9 x 6.1 x 1.2 in (22.86 x 15.49 x 3.05 cm)
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Themes
- Aspects (Academic): Applied/Practical
- Category Mathematics
- Dewey Decimal Code 512.943
- Quantity available 1
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From the publisher
From the jacket flap
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 Lwner 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 generalized inverses. The authors then give a unified theory of all these partial orders. This is followed by a study of the Lwner order and a limited treatment of majorization (there is an abundance of literature available on majorization). The authors also study the parallel sums and shorted matrices, the latter being studied at great length. Partial orders of modified matrices are a new addition. Finally, applications are given in statistics and electrical network theory.
Media reviews
Citations
- Reference and Research Bk News, 08/01/2011, Page 204
