Matrix Partial Orders, Shorted Operators And Applications
Author:   P Bhimasankaram (Univ Of Hyderabad, India) ,  Saroj B Malik (Hindu College, Delhi Univ, India) ,  Sujit Kumar Mitra (Indian Statistical Inst, India)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   10
ISBN:  

9789812838445


Pages:   464
Publication Date:   01 April 2010
Format:   Hardback
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Matrix Partial Orders, Shorted Operators And Applications


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Overview

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 Loewner 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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Author:   P Bhimasankaram (Univ Of Hyderabad, India) ,  Saroj B Malik (Hindu College, Delhi Univ, India) ,  Sujit Kumar Mitra (Indian Statistical Inst, India)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   10
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 22.90cm
Weight:   0.794kg
ISBN:  

9789812838445


ISBN 10:   9812838449
Pages:   464
Publication Date:   01 April 2010
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

Introduction; Decompositions and Generalized Inverses; Minus Order; Sharp Order; Star Order; One-Sided Orders; Lowner Order and Majorization; Unified Theory of Matrix Partial Orders through Generalized Inverses; Parallel Sums; Schur Complements and Shorted Operators; Shorted Operators II; Supremum and Infimum for a Pair of Matrices; Partial Orders for Modified Matrices; Statistics; Electrical Network Theory.

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This unique book can be recommended to anybody interested in matrix orders. -- Image Image


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