Completely Positive Matrices (Hardcover) (ISBN-13: 9789812383686)

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.

Author: Abraham Berman,Naomi Shaked-Monderer
ISBN-10: 9812383689
ISBN-13: 9789812383686
Publisher: World Scientific Publishing Company
Language: English
Published: 04/15/2003
Pages: 216
Format: Hardcover
Weight: 1.12lbs
Size: 9.36h x 6.16w x 0.73d

Review Citation(s):
Scitech Book News 12/01/2004 pg. 35