RT journal article
T1 A Note on Decomposable and Reducible Integer Matrices
A1 Marijuán, Carlos
A1 Ojeda, Ignacio
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 integer matrix
K1 hermite normal form
K1 decomposable matrix
K1 reducible matrix
K1 disconnected graph
AB We propose necessary and sufficient conditions for an integer matrix to be decomposable interms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integermatrix whose reducibility can be efficiently determined by elementary linear algebra techniques, andwhich completely determines the decomposability of the first one.
PB MDPI
SN 2073-8994
YR 2021
FD 2021-07
LK http://hdl.handle.net/10498/25643
UL http://hdl.handle.net/10498/25643
LA eng
NO This reserach was partially supported by the Ministerio de Economia y Competitividad (Spain)/FEDER-UE under grants PGC2018-096446-B-C21 and MTM2017-84890-P, by the Junta de Extremadura(Spain)/FEDER funds, research group FQM-024, and by the Junta de Andalucia (Spain), research group FQM-366.Document
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026