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Book synopsis

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 generalized inverses. The authors then give a unified theory of all these partial orders. This is followed by a study of the Lowner 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.

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Matrix Partial Orders, Shorted Operators And Applications
• Author: Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik
• Language: English
• Binding: Hardback
• Number of pages: 464
• EAN: 9789812838445
• ISBN: 9812838449
• ID: 05069451
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 786 g
• Dimensions: 235 × 163 × 30 mm
• Date of publishing: 01. April 2010

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