Naomi Shaked-monderer's Books

Copositive And Completely Positive Matrices

By: Naomi Shaked-monderer,Abraham Berman

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Copositive And Completely Positive Matrices

By: Naomi Shaked-monderer,Abraham Berman

This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices.The book is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.

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Page Count

562

Publisher

World Scientific

Published Date

ISBN 10

9811204365

ISBN 13

9789811204364

Completely Positive Matrices

By: Abraham Berman,Naomi Shaked-Monderer

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Completely Positive Matrices

By: Abraham Berman,Naomi Shaked-Monderer

A real matrix is positive semidefinite if it can be decomposed as A = BBOC . 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 = BBOC 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. Contents: Preliminaries: Matrix Theoretic Background; Positive Semidefinite Matrices; Nonnegative Matrices and M -Matrices; Schur Complements; Graphs; Convex Cones; The PSD Completion Problem; Complete Positivity: Definition and Basic Properties; Cones of Completely Positive Matrices; Small Matrices; Complete Positivity and the Comparison Matrix; Completely Positive Graphs; Completely Positive Matrices Whose Graphs are Not Completely Positive; Square Factorizations; Functions of Completely Positive Matrices; The CP Completion Problem; CP Rank: Definition and Basic Results; Completely Positive Matrices of a Given Rank; Completely Positive Matrices of a Given Order; When is the CP-Rank Equal to the Rank?. Readership: Upper level undergraduates, graduate students, academics and researchers interested in matrix theory.

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Page Count

222

Publisher

World Scientific

Published Date

ISBN 10

9812795219

ISBN 13

9789812795212

Copositive Matrices and Completely Positive Matrices: C(o)P Matrices

By: Naomi Shaked-Monderer,Abraham Berman

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Copositive Matrices and Completely Positive Matrices: C(o)P Matrices

By: Naomi Shaked-Monderer,Abraham Berman

This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new sections on the cone of copositive matrices, which is the dual of the cone of completely positive matrices, and new results on both copositive matrices and completely positive matrices. The book is an up to date comprehensive resource for researchers in Matrix Theory and Optimization. It can also serve as a textbook for an advanced undergraduate or graduate course.

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Age

Page Count

400

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9811204349

ISBN 13

9789811204340

Book's by Naomi Shaked-monderer

Copositive And Completely Positive Matrices

Copositive And Completely Positive Matrices

Completely Positive Matrices

Completely Positive Matrices

Copositive Matrices and Completely Positive Matrices: C(o)P Matrices

Copositive Matrices and Completely Positive Matrices: C(o)P Matrices

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