Using canonical dual frames in adaptive Richardson iterative method for solving operator equations (Q2861353)
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scientific article; zbMATH DE number 6226105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Using canonical dual frames in adaptive Richardson iterative method for solving operator equations |
scientific article; zbMATH DE number 6226105 |
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Using canonical dual frames in adaptive Richardson iterative method for solving operator equations (English)
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12 November 2013
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linear operator equation
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separable Hilbert space
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frame
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Richardson iteration
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adaptive solution
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preconditioning
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convergence
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Some approximated solutions for an operator equation \(Lu=f\), where \(L:H\to H\) is a bounded bijection and a self-adjoint operator on a separable Hilbert space \(H\), are given. Canonical dual frames are used in order to precondition the linear equation so that convergence of iterative methods is improved. The solution of the equation is approximated by a Richardson iterative method.
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