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Matrix Partial Orders, Shorted... (V10) by P. Bhimasankaram, Saroj B. Malik, Sujit Kumar Mitra

Matrix Partial Orders, Shorted... (V10)

by P. Bhimasankaram , Saroj B. Malik , Sujit Kumar Mitra
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Book cover type: Hardcover
  • ISBN13: 9789812838445
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 464
  • Original Price: USD 119.0
  • Language: English
  • Edition: N/A
  • Item Weight: 794 grams
  • BISAC Subject(s): Algebra / General

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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