Generalizations of \(M\)-matrices which may not have a nonnegative inverse (Q952037)
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scientific article; zbMATH DE number 5362053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizations of \(M\)-matrices which may not have a nonnegative inverse |
scientific article; zbMATH DE number 5362053 |
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Generalizations of \(M\)-matrices which may not have a nonnegative inverse (English)
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6 November 2008
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From the authors' summary: Generalizations of \(M\)-matrices are studied, including the new class of \(G\)M-matrices. The matrices studied are of the form \(sI-B\) with \(B\) having the Perron-Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known for \(M\)-matrices. Also, various splittings of a \(G\)M-matrix are studied along with conditions for their convergence.
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generalized \(M\)-matrices
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Perron-Frobenius property
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