Matrix Partial Orders, Shorted... (V10)
Overview
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.∗Deceased
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Details
- ISBN-13: 9789812838445
- ISBN-10: 9812838449
- Publisher: World Scientific Publishing Company
- Publish Date: May 2010
- Dimensions: 9 x 6.1 x 1.2 inches
- Shipping Weight: 1.75 pounds
- Page Count: 464
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