Overview

A real matrix is positive semidefinite if it can be decomposed as A=BB'. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB' is known as the cp rank of A. This work focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined.

Full Product Details

Author:   Abraham Berman (Technion-israel Inst Of Tech, Israel) ,  Naomi Shaked-monderer (The Max Stern Yezreel Valley College, Israel)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.00cm
Weight:   0.508kg
ISBN:  

9789812383686

ISBN 10:   9812383689
Pages:   216
Publication Date:   15 April 2003
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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".,."" of interest mainly to an applied mathematician but the techniques and the difficulties appeal the to pure mathematician as well.?"

.,. of interest mainly to an applied mathematician but the techniques and the difficulties appeal the to pure mathematician as well.?

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