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Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices
(Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2019-10-01)
A necessary and sufficient condition in order to guarantee that the inverse of a tridiagonal M-matrix is tridiagonal is provided. Pentadiagonal M-matrices whose inverse is pentadiagonal are also analyzed.