Item description for Completely Positive Matrices by Abraham Berman & Naomi Shaked-Monderer...
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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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6.25" Height: 9" Weight: 1.15 lbs.
Publisher World Scientific Publishing Company
ISBN 9812383689 ISBN13 9789812383686
Availability 0 units.
More About Abraham Berman & Naomi Shaked-Monderer
Abraham Berman has an academic affiliation as follows - Technion-Israel Institute of Technology.
Reviews - What do customers think about Completely Positive Matrices?
All you need about completely positive matrices Oct 2, 2008
It is an interesting domain in mathematics that it is yet unexplored. The book is very complete, although small in size. This is because there is not that much in that field. I found it useful when I was writing a paper in Non Negative Matrix Factorization. It would be a breakthrough if people could find an algorithm of Completely positive factorization