Accurate computation of the smallest eigenvalue of a diagonally dominant \(M\)-matrix (Q2759093)
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scientific article; zbMATH DE number 1680748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Accurate computation of the smallest eigenvalue of a diagonally dominant \(M\)-matrix |
scientific article; zbMATH DE number 1680748 |
Statements
10 December 2001
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entrywise perturbation
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diagonal dominant matrix
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\(M\)-matrix
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algorithms
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numerical examples
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smallest eigenvalue
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inverse matrix
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Accurate computation of the smallest eigenvalue of a diagonally dominant \(M\)-matrix (English)
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Algorithms for the computation of the smallest eigenvalue and the entries in the inverse matrix of diagonally dominant \(M\)-matrices are devised. The algorithms require the knowledge of each off-diagonal element and the sum of each row within a certain accuracy and compute the aforementioned data within the same accuracy. Numerical examples are given to illustrate the performance of the algorithms.
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