Optimal linear randomized methods for linear operators in Hilbert spaces (Q1190530)
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scientific article; zbMATH DE number 55603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal linear randomized methods for linear operators in Hilbert spaces |
scientific article; zbMATH DE number 55603 |
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Optimal linear randomized methods for linear operators in Hilbert spaces (English)
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26 September 1992
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Some of the basic questions of information-based complexity are strongly related to \(n\)-width and \(s\)-numbers. These relations were studied in particular by \textit{P. Mathé} [J. Complexity 6, No. 1, 41-66 (1990; Zbl 0723.68047)]. The author studies Monte Carlo methods or randomized methods for linear operators. The main result is the characterization of linear stochastic \(n\)-widths in the case of linear operators in Hilbert spaces.
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information-based complexity
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\(s\)-numbers
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Monte Carlo methods
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randomized methods
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linear operators
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linear stochastic \(n\)-widths
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Hilbert spaces
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