Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices (Q1124775)
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scientific article; zbMATH DE number 1371017
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices |
scientific article; zbMATH DE number 1371017 |
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Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices (English)
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28 November 1999
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This paper is related to the approximation of Toeplitz matrices generated by continuous 2-periodic functions. The author defines a class of preconditioners related to suitable choices of Gram functions, and then he introduces a Weierstrass matrix theory to approximate the original Toeplitz operator in a fixed sequence of Gram matrix algebras. The convergence properties of the optimal operator are analyzed, and then he deals with band-Toeplitz approximation.
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Korovkin theorems
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linear positive Gram matrix algebra
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Toeplitz matrices
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preconditioners
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Gram functions
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Weierstrass matrix theory
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convergence
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