Items related to Completely Positive Matrices

Completely Positive Matrices - Hardcover

Berman, Abraham; Shaked-monderer, Naomi

 
9789812383686: Completely Positive Matrices
Hardcover
ISBN 10: 9812383689 ISBN 13: 9789812383686
Publisher: World Scientific Publishing Co Pte Ltd, 2003

Synopsis

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 invaluable book 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.

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Review

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

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Publisher
World Scientific Publishing Co Pte Ltd
Publication date
2003
Language
English
ISBN 10 
9812383689
ISBN 13 
9789812383686
Binding
Hardcover
Number of pages
216