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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भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 216 ● ISBN 9789812795212 ● फाइल का आकार 7.1 MB ● प्रकाशक World Scientific Publishing Company ● शहर Singapore ● देश SG ● प्रकाशित 2003 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 2446708 ● कॉपी सुरक्षा Adobe DRM
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