{ "item_title" : "Completely Positive Matrices", "item_author" : [" Abraham Berman", "Naomi Shaked-Monderer "], "item_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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/9/81/238/368/9812383689_b.jpg", "price_data" : { "retail_price" : "100.00", "online_price" : "100.00", "our_price" : "100.00", "club_price" : "100.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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