Questions tagged [m-matrix]

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inverse M-matrix times mixed-sign vector

Recently a colleague and I came across this unusual phenomenon. Take $M\in\mathbb{R}^{n\times n}$ a singular irreducible M-matrix, and $b\in\mathbb{R}^{n}$ such that the system $Mx=b$ is solvable (so,...
Federico Poloni's user avatar
1 vote
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Characterization of the inverse of a diagonally dominant symmetric M-matrix

I was looking for a proof or counter-example for a hypothesis that states that the inverse of a nonsingular nonnegative symmetric diagonally dominant matrix with the same value on the diagonal is a ...
Qtip's user avatar
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M-matrix with nonconstant entries properties

I have a matrix $J(x)$ with $J_{ij}(x)=f_{ij}(x)$ where vector $x$ is $x=x_1, x_2, ..., x_m$. I have shown that $J(x)$ is an M-matrix for all $x$. There is known review paper by Plemmons (1977) of 40 ...
Alex Ivanov's user avatar