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About Matrix Partial Orders, Shorted Operators and Applications (Series in Algebra)
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 Löwner 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.
Detailed Information
| Author: | Sujit Kumar Mitra, P. Bhimasankaram, Saroj B. Malik |
|---|---|
| Publication Year: | 2010 |
| ISBN: | 9789812838445 |
| Pages: | 453 |
| Language: | English |
| File Size: | 3.08 |
| Format: | |
| Price: | FREE |
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