On Factorizations of Upper Triangular Nonnegative Matrices of Order Three

Yi-Zhi Chen

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-6

Abstract:

Let denote the semigroup of upper triangular matrices with nonnegative integral-valued entries. In this paper, we investigate factorizations of upper triangular nonnegative matrices of order three. Firstly, we characterize the atoms of the subsemigroup of the matrices in with nonzero determinant and give some formulas. As a consequence, problems 4a and 4c presented by Baeth et al. (2011) are each half-answered for the case . And then, we consider some factorization cases of matrix in with and give formulas for the minimum factorization length of some special matrices in .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:960182

DOI: 10.1155/2015/960182

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