Matrix Partial Orders, Shorted Operators And Applications
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A01=P Bhimasankaram
A01=Saroj B Malik
A01=Sujit Kumar Mitra
Author_P Bhimasankaram
Author_Saroj B Malik
Author_Sujit Kumar Mitra
Category=PBCD
Category=PBF
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Generalized Inverse
Minus
Modified Matrices
Parallel Sums
Sharp and Star Orders
Shorted Operators
Product details
- ISBN 9789812838445
- Publication Date: 01 Apr 2010
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 — 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
