Matrix partial orders, shorted operators and applications /

Matrix partial orders, shorted operators and applications /

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Bibliographic Details
Author / Creator:	Mitra, Sujit Kumar.
Imprint:	Singapore ; Hackensack, NJ : World Scientific, c2010.
Description:	xvii, 446 p. : ill. ; 24 cm.
Language:	English
Series:	Series in algebra ; v. 10 Series in algebra ; v. 10.
Subject:	Matrices. Linear operators. Linear operators. Matrices.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8124902

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Other authors / contributors:	Bhimasankaram, P. Malik, Saroj B.
ISBN:	9789812838445 9812838449
Notes:	Includes bibliographical references (p. 439-443) and index.
Summary:	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 Lowner 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. --Book Jacket.

Eckhart

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Call Number:	QA188 .M58 2010
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian