A new upper bound for \(\|A^{-1}\|\) of a strictly \(\alpha\)-diagonally dominant \(M\)-matrix (Q2248688)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new upper bound for \(\|A^{-1}\|\) of a strictly \(\alpha\)-diagonally dominant \(M\)-matrix |
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A new upper bound for \(\|A^{-1}\|\) of a strictly \(\alpha\)-diagonally dominant \(M\)-matrix (English)
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27 June 2014
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Summary: A new upper bound for \(\|A^{-1}\|\) of a real strictly diagonally dominant \(M\)-matrix \(A\) is present, and a new lower bound of the smallest eigenvalue \(\lambda_{\min}(A)\) of \(A\) is given, which improved the results in the literature. Furthermore, an upper bound for \(\|A^{-1}\|\) of a real strictly \(\alpha\)-diagonally dominant \(M\)-matrix is shown.
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norm of the inverse matrix
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upper bound
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strictly diagonally dominant \(M\)-matrix
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smallest eigenvalue
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