Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices (Q2568982)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices |
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Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices (English)
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17 October 2005
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The authors study finite ergodic Markov chains, Laplacian matrices of undirected weighted graphs, and inverses of strictly diagonally dominant M-matrices. Among other things, they connect and generalize properties of matrices related to (i) the triangle inequality for mean first passage times in finite homogeneous ergodic Markov chains, (ii) the triangle inequality for proximities in the Laplacian matrices of undirected weighted graphs, and (iii) the Metzler property of the column entrywise diagonal dominance of inverses of diagonally dominant M-matrices.
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ergodic Markov chain
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diagonally dominant M-matrix
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group inverse
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Laplacian matrix
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mean first passage times
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M-matrix
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nonnegative matrix
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stochastic matrix
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transition matrix
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undirected weighted graph
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triangle inequality
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