Optimal maximization and approximation algorithms for approximately calculated functions of many variables (Q1608245)
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scientific article; zbMATH DE number 1779280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal maximization and approximation algorithms for approximately calculated functions of many variables |
scientific article; zbMATH DE number 1779280 |
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Optimal maximization and approximation algorithms for approximately calculated functions of many variables (English)
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12 August 2002
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The paper is devoted to an efficient approach to multidimensional problems in numerical analysis: to transform the domain on which a problem is defined so as to reduce the dimension of the problem. A multidimensional domain may be mapped to a one-dimensional one by invoking the Peano mapping. In this paper, the theoretical properties of the Peano mapping are analyzed together with both dimension-reducing methods as applied to maximization and approximation problems for approximately calculated Lipschitz functions of many variables.
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maximization problem
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optimal algorithms
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dimension-reducing methods
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Peano mapping
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