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.

Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically ...

We obtain new bounds for the entries of the inverse of a diagonally-dominant tridiagonal matrix which improve the best previous ones, due to H.-B. Li et al. We apply our bounds to the tridiagonal matrices arising in the ...

In the analysis of stability of a variant of the Crank-Nicolson (C-N) method for the heat equation on a staggered grid a class of non-symmetric matrices appear that have an interesting property: their eigenvalues are all ...

Associated with an ordered sequence of an even number 2N of positive real numbers is a birth and death process (BDP) on {0, 1, 2,..., N} having these real numbers as its birth and death rates. We generate another birth and ...

Associated with an ordered sequence of an even number 2N of positive real numbers is a birth and death process (BDP) on {0, 1, 2,..., N} having these real numbers as its birth and death rates. We generate another birth and ...