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Item Details
| Title:
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COMPLETELY POSITIVE MATRICES
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| By: |
Abraham Berman, Naomi Shaked-Monderer |
| Format: |
Hardback |
| List price:
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£83.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
9812383689 |
| ISBN 13: |
9789812383686 |
| Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
| Pub. date: |
15 April, 2003 |
| Pages: |
216 |
| Description: |
This work 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 covered. |
| Synopsis: |
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. |
| Publication: |
Singapore |
| Imprint: |
World Scientific Publishing Co Pte Ltd |
| Returns: |
Returnable |
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