图书标签:
发表于2024-11-11
Completely Positive Matrices pdf epub mobi txt 电子书 下载 2024
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. Upper level undergraduates, graduate students, academics and researchers interested in matrix theory.
评分
评分
评分
评分
Completely Positive Matrices pdf epub mobi txt 电子书 下载 2024