A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization (Q1911936)
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scientific article; zbMATH DE number 871125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization |
scientific article; zbMATH DE number 871125 |
Statements
A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization (English)
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16 February 1997
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The author reports necessary and sufficient conditions for \(M\)-matrices in terms of special diagonal dominance. He uses new results to show that if the comparison matrix for a block matrix is an \(M\)-matrix, there exists a stable block permutation matrix. Next, incomplete \(M\)-matrices are defined, necessary and sufficient conditions for such matrices are proved and their implication on block LU-factorization is presented.
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\(M\)-matrices
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diagonal dominance
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block \(LU\)-factorization
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