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Matrix Partial Orders, Shorted Operators and Applications

Sujit Kumar Mitra

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ISBN 10: 9812838449 / ISBN 13: 9789812838445
Published by World Scientific Publishing Company
New Condition: New Hardcover
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464 pages. Dimensions: 9.1in. x 6.1in. x 1.0in.The present monograph on matrix partial orders, the first on this topic, makes 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 as well as 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9789812838445

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Title: Matrix Partial Orders, Shorted Operators and...

Publisher: World Scientific Publishing Company

Binding: Hardcover

Book Condition:New

Book Type: Hardcover

About this title

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The present monograph on matrix partial orders, the first on this topic, makes 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 L÷wner 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 as well as 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.

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This unique book can be recommended to anybody interested in matrix orders. -- Image "Image"

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