Synchronous and asynchronous interval Newton-Schwarz methods for a class of large systems of nonlinear equations (Q5946848)
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scientific article; zbMATH DE number 1660427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Synchronous and asynchronous interval Newton-Schwarz methods for a class of large systems of nonlinear equations |
scientific article; zbMATH DE number 1660427 |
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Synchronous and asynchronous interval Newton-Schwarz methods for a class of large systems of nonlinear equations (English)
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2001
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A class of parallel interval arithmetic iterative methods is developed for solving a nonlinear equation \(f(x)=0\) over an \(n\)-dimensional interval. Proposed is a general Krawczyk-Schwarz-type method in both its synchronous and asynchronous versions, and convergence and enclosure properties are proved.
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nonlinear equations
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interval Newton method
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interval arithmetic
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Krawczyk-Schwarz-type method
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convergence
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enclosure
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