A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval

Christer Glader

doi:10.1023/A:1016636532753

A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval

Christer Glader^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

Abstract

A method for construction of CF approximants in some cases of rational approximation of a rational function f on the unit disk and on the unit interval is presented. The inverted square root of the greatest positive eigenvalue and a corresponding eigenvector of an eigenvalue problem defined by the coefficients of f gives the solution.

Original language	English
Pages (from-to)	151-165
Number of pages	15
Journal	Numerical Algorithms
Volume	26
Issue number	2
DOIs	https://doi.org/10.1023/A:1016636532753
Publication status	Published - 2001
MoE publication type	A1 Journal article-refereed

Keywords

Blaschke product
CF method
Rational approximation

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10.1023/A:1016636532753

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title = "A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval",

abstract = "A method for construction of CF approximants in some cases of rational approximation of a rational function f on the unit disk and on the unit interval is presented. The inverted square root of the greatest positive eigenvalue and a corresponding eigenvector of an eigenvalue problem defined by the coefficients of f gives the solution.",

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KW - Blaschke product

KW - CF method

KW - Rational approximation

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A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval

Abstract

Keywords

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