Series In Algebra: Matrix Partial Orders, Shorted Operators And Applications (PDF)
(Sprache: Englisch)
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....
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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 â namely, the minus, the sharp and the star â 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.âDeceased
Bibliographische Angaben
- Autoren: P Bhimasankaram , Saroj B Malik , Sujit Kumar Mitra
- 2010, 464 Seiten, Englisch
- Verlag: World Scientific Publishing Company
- ISBN-10: 9812838457
- ISBN-13: 9789812838452
- Erscheinungsdatum: 31.03.2010
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- Größe: 8.10 MB
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Englisch
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