Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index (Q1970402)
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scientific article; zbMATH DE number 1419823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index |
scientific article; zbMATH DE number 1419823 |
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Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index (English)
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21 March 2000
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Necessary and sufficient conditions for the convergence of a sequence of solutions of a Krylov subspace method for the numerical solution of singular linear systems are derived. Convergence is proven to a vector involving the Drazin inverse of the singular coefficient matrix. Convergence bounds for the QMR and TFQMR algorithm are given.
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QMR method
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convergence
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Krylov subspace method
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singular linear systems
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Drazin inverse
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TFQMR algorithm
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