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arXiv · 2003.01453

On decomposable and reducible integer matrices

Carlos Marijuán·Ignacio Ojeda·Alberto Vigneron-Tenorio
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Abstract

We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix of maximal row rank without columns of zeros, we associate a symmetric whole matrix whose reducibility can be determined by elementary Linear Algebra, and which completely determines the decomposibility of the first one.

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Carlos Marijuán, Ignacio Ojeda, Alberto Vigneron-Tenorio. 2020-03-03. On decomposable and reducible integer matrices. https://doi.org/10.3390/sym13071125

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