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612-822-4611
Matrix Partial Orders, Shorted... (V10)

Matrix Partial Orders, Shorted... (V10)

Hardcover

Series: Algebra, Book 10

Technology & EngineeringAlgebraProbability & Statistics

ISBN10: 9812838449
ISBN13: 9789812838445
Publisher: World Scientific Publishing Company
Published: May 30 2010
Pages: 464
Weight: 1.75
Height: 1.20 Width: 6.10 Depth: 9.00
Language: English
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.∗Deceased

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Algebra