Factorizations of Completely Positive Matrices over Integers
Received:May 15, 2000  
Key Words: matrix   completely positive   factorization over integers   factorization index  
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Author NameAffiliation
XU Chang-qing Dept. of Math.
Anhui University
Hefei
China 
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Abstract:
      An n×n matrix A is said to be completely positive if A can be factored as A = BBT, where B is an n×m nonnegative matrix. The smallest such number m is called the factorization index of A; A is called doubly nonnegative if it is entrywise nonnegative and positive semidefinite as well. The paper concerns completely positive factorizations of matrices (with integeral entries) in CP, over integers and the related factorization index.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.02.029
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