The smoothing method for finding the largest eigenvalue of nonnegative matrices (Q2746283)
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scientific article; zbMATH DE number 1655786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The smoothing method for finding the largest eigenvalue of nonnegative matrices |
scientific article; zbMATH DE number 1655786 |
Statements
10 October 2001
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smoothing method
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largest eigenvalue
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eigenvector
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nonnegative matrix
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convergence
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numerical examples
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The smoothing method for finding the largest eigenvalue of nonnegative matrices (English)
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A new method for finding the largest eigenvalue and its corresponding eigenvector of a nonnegative matrix is proposed. The convergence of the method is proved. Several numerical examples are given to illustrate the results. This new method is good for computing the largest eigenvalue of a positive matrix. However, it seems to be complicated to approximate the corresponding eigenvector. By the way, the rate of convergence of this method needs to be studied.
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