On convergence of Newton's method for three-parameter matrix eigenvalue problems (Q2800749)
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scientific article; zbMATH DE number 6570015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convergence of Newton's method for three-parameter matrix eigenvalue problems |
scientific article; zbMATH DE number 6570015 |
Statements
18 April 2016
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multiparameter eigenvalue problems
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tensor product space
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Kronecker product
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Newton's method
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determinantal operators
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eigenvector
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convergence
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numerical experiment
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On convergence of Newton's method for three-parameter matrix eigenvalue problems (English)
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The paper deals with the numerical solution of multiparameter eigenvalue problems (MEP). In this respect, the authors extend the one step Newton's method for solving non-linear systems to three-parameter matrix eigenvalue problems of finding approximate eigenvalues and eigenvectors. They derive convergence conditions in terms of matrix 2-norms, and present numerical experiments with the MATLAB software product.
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