Main Matrix Partial Orders, Shorted Operators and Applications (Series in Algebra)
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Matrix Partial Orders, Shorted Operators and Applications (Series in Algebra)

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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 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.
Request Code : ZLIB.IO17658675
Categories:
Year:
2022
Publisher:
World Scientific Publishing Company
Language:
English
ISBN 10:
9812838449
ISBN 13:
9789812838445
ISBN:
9812838449, 9789812838445

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