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Título: Completely Positive Matrices | |
| Autor: Berman Abraham/ Shaked-Monderer Naomi | Precio: $506.00 | |
| Editorial: World Scientific Publishing Co. Inc | Año: 2003 | |
| Tema: Ciencia, Matematicas, Conocimiento | Edición: 1ª | |
| Sinopsis | ISBN: 9789812383686 | |
| 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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