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Completely Positive Matrices by Abraham Berman ; Naomi Shaked-Monderer is a book available to read on EtoBox.

What is Completely Positive Matrices about?

Annotation A real matrix is positive semidefinite if it can be decomposed as A=BBT. 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=BBT 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

Publisher

World Scientific Publishing Company

Published

2003

Language

EN

ISBN

9786611935634

Subjects

Mathematics, Stem