A method for constructing two-sided approximations of the solution to an operator equation with a monotonically decomposable operator (Q1395285)
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scientific article; zbMATH DE number 1940653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method for constructing two-sided approximations of the solution to an operator equation with a monotonically decomposable operator |
scientific article; zbMATH DE number 1940653 |
Statements
A method for constructing two-sided approximations of the solution to an operator equation with a monotonically decomposable operator (English)
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1 July 2003
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The authors propose a method for constructing upper and lower bounds of the solution to an operator equation with a monotonically decomposable operator. A method for constructing such monotone approximations and a rather simple technique for improving their convergence rate are proposed. Under additional assumptions, an estimate for the improved convergence rate is obtained. A method for constructing initial approximations for sertain classes of problems is described.
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Banach space
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linear operator equation
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two-sided approximations
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partially ordered space
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convergence
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monotonically decomposable operator
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monotone approximations
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