Completely Positive Matrices

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  • Completely Positive Matrices Book Detail

  • Author : Abraham Berman
  • Release Date : 2003-04-11
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 218
  • ISBN 13 : 9814486000
  • File Size : 73,73 MB

Completely Positive Matrices by Abraham Berman PDF Summary

Book Description: 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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Completely Positive Matrices

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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 matr

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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

Completely Positive Matrices

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A real matrix is positive semidefinite if it can be decomposed as A=BBT. In some applications the matrix B has to be elementwise nonnegative. If such a matrix e

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommu