A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems (Q647253)
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scientific article; zbMATH DE number 5984244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems |
scientific article; zbMATH DE number 5984244 |
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A global Arnoldi method for large non-Hermitian eigenproblems with special applications to multiple eigenproblems (English)
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1 December 2011
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The authors derive a global Arnoldi method for large unsymmetric eigen-problems and set up a general framework of global projection methods for eigen-problems. Their method is based on the global Arnoldi process starting with an \(n \times s\) initial matrix. They also provide numerical experiments to illustrate efficiency and reliability of this algorithm.
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global Arnoldi process
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global Arnoldi method
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\(F\)-orthonormal
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eigenvalue problem
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multiple
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\(F\)-Ritz value
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\(F\)-Ritz vector
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convergence
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implicit restart
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large unsymmetric eigen-problems
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global projection methods
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numerical experiments
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0.9809227
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0.9356819
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0.90917116
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0.9079493
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0.9040361
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0.89836824
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0.8936576
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0.89072025
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