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MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra)

MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra)

MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra)
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MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra) Hardback - 2010

by Bhimasankaram, P,Malik, Saroj B,Mitra, Sujit Kumar

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World Scientific Publishing Comp, 5/30/2010 12:00:01 A. hardcover. Very Good. 1.0236 in x 9.1339 in x 6.1417 in.
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Details

  • Title MATRIX PARTIAL ORDERS, SHORTED OPERATORS AND APPLICATIONS (Algebra)
  • Author Bhimasankaram, P,Malik, Saroj B,Mitra, Sujit Kumar
  • Binding Hardback
  • Condition Used - Very good
  • Pages 464
  • Volumes 1
  • Language ENG
  • Publisher World Scientific Publishing Comp, U.S.A
  • Publication date 5/30/2010 12:00:01 A
  • Features Bibliography, Index, Table of Contents
  • Bookseller's Inventory # 3TWOWA001CQN
  • ISBN 9789812838445 / 9812838449
  • Weight 1.75 lbs (0.79 kg)
  • Dimensions 9 x 6.1 x 1.2 in (22.86 x 15.49 x 3.05 cm)
  • Size 1.0236 in x 9.1339 in x 6.1417 i
  • Themes
    • Aspects (Academic): Applied/Practical
  • Category Mathematics
  • Dewey Decimal Code 512.943
  • Quantity available 2

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From the publisher

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 Lwner 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

From the jacket flap

The present monograph on matrix partial orders, appearing for the first time, is 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 Lwner 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. This is followed by a study of the Lwner order and a limited treatment of majorization (there is an abundance of literature available on majorization). The authors also 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.

Media reviews

Citations

  • Reference and Research Bk News, 08/01/2011, Page 204

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