期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 431, 期 12, 页码 2330-2335出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2009.02.034
关键词
Rank; Matrix factorization; Nonnegative integer matrices; Polynomial matrices
We consider the set of m x n nonnegative real matrices and define the nonnegative rank of a matrix A to be the minimum k such that A = BC where B is m x k and C is k x n. Given that the real rank of A is j for some j, we give bounds on the nonnegative rank of A and A(2). (c) 2009 Elsevier Inc. All rights reserved.
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