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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语言 英语 ● 格式 PDF ● 网页 216 ● ISBN 9789812795212 ● 文件大小 7.1 MB ● 出版者 World Scientific Publishing Company ● 市 Singapore ● 国家 SG ● 发布时间 2003 ● 下载 24 个月 ● 货币 EUR ● ID 2446708 ● 复制保护 Adobe DRM
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