A Note on Decomposable and Reducible Integer Matrices

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URI: http://hdl.handle.net/10498/25643

DOI: 10.3390/sym13071125

ISSN: 2073-8994

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Autor/es
Marijuán, Carlos; Ojeda, Ignacio; Vigneron Tenorio, AlbertoAutoridad UCA
Fecha
2021-07
Departamento/s
Matemáticas
Fuente
Symmetry 2021, 13(7), 1125
Resumen
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, we associate a symmetric integer matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and which completely determines the decomposability of the first one.
Materias
integer matrix; hermite normal form; decomposable matrix; reducible matrix; disconnected graph
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Atribución 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional