Completely Positive Matrices (Innbundet)

Forfatter:

og

Forfatter: og
Innbinding: Innbundet
Utgivelsesår: 2003
Antall sider: 216
Forlag: World Scientific Publishing Co Pte Ltd
Språk: Engelsk
ISBN/EAN: 9789812383686
Omtale Completely Positive Matrices
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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