{"product_id":"completely-positive-matrices-abraham-berman-9789812383686","title":"Completely Positive Matrices","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Abraham Berman,Naomi Shaked-Monderer\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9812383689\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789812383686\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/15\/2003\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 216\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.12lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.36h x 6.16w x 0.73d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 12\/01\/2004 pg. 35","brand":"Abraham Berman","offers":[{"title":"Hardcover","offer_id":48448112853247,"sku":"9789812383686","price":100.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_018296f7-dc6c-412c-b046-76ce0d5c351c.jpg?v=1777236983","url":"https:\/\/www.whiterainbookhouse.com\/products\/completely-positive-matrices-abraham-berman-9789812383686","provider":"WR Book House","version":"1.0","type":"link"}