Experiences with a method for enclosing solutions of systems of equations (Q1900752)
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scientific article; zbMATH DE number 808363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Experiences with a method for enclosing solutions of systems of equations |
scientific article; zbMATH DE number 808363 |
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Experiences with a method for enclosing solutions of systems of equations (English)
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23 October 1995
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An inclusion theorem for iterative Newton-like methods is given and is used to formulate verifiable iterative algorithms for linear and nonlinear systems of equations. Numerical experiments are reported which show that the present method is comparable to the interval arithmetic algorithms of \textit{G. Alefeld} [Numer. Math. 48, 391-416 (1986; Zbl 0597.65050)] and \textit{S. M. Rump} [Lect. Notes Comput. Sci. 235, 31-69 (1986; Zbl 0609.65033)].
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numerical experiments
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inclusion theorem
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iterative Newton-like methods
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nonlinear systems
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interval arithmetic algorithms
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0.7949399352073669
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0.7885947823524475
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