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Completely Positive Matrices

Abraham Berman, Naomi Shaked-Monderer




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 | #5327818 in Books |  2003-04-15 | Original language:English | PDF # 1 |  9.36 x.73 x6.16l,1.12 | File type: PDF | 216 pages

||1 of 2 people found the following review helpful.| All you need about completely positive matrices|By Customer|It is an interesting domain in mathematics that it is yet unexplored. The book is very complete, although small in size. This is because there is not that much in that field. I found it useful when I was writing a paper in Non Negative Matrix Factorization. It would be a breakthrough if people could find an algorithm| |.,." of interest mainly to an applied mathematician but the techniques and the difficulties appeal the to pure mathematician as well.?|From the Publisher|Readership: Upper level undergraduates, graduate students, academics

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 combin...

You easily download any file type for your device.Completely Positive Matrices   |  Abraham Berman, Naomi Shaked-Monderer. I was recommended this book by a dear friend of mine.

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