Completely Positive Matrices - Hardcover

Berman, Abraham; Shaked-Monderer, Naomi

 
9789812383686: Completely Positive Matrices
Hardcover
ISBN 10: 9812383689 ISBN 13: 9789812383686
Verlag: World Scientific Publishing Co Pte Ltd, 2003

Inhaltsangabe

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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Verlag
World Scientific Publishing Co Pte Ltd
Erscheinungsdatum
2003
Sprache
Englisch
ISBN 10 
9812383689
ISBN 13 
9789812383686
Einband
Gebundene Ausgabe
Anzahl der Seiten
216
Kontakt zum Hersteller
World Scientific Publishing
https://www.worldscientific.com/

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