COMPLETELY POSITIVE MATRICES

von Berman Abraham

Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: World Scientific
• ISBN: 9789812383686
• Sprache: Englisch
• Erscheinungsdatum: 15.04.2003
• Größe: 238 x 156 mm
• Verlag: World Scientific Publishing Co Pte Ltd