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^*

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

1 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	151-165
Antal sidor	15
Tidskrift	Numerical Algorithms
Volym	26
Nummer	2
DOI	https://doi.org/10.1023/A:1016636532753
Status	Publicerad - 2001
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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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.",

keywords = "Blaschke product, CF method, Rational approximation",

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AB - 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.

KW - Blaschke product

KW - CF method

KW - Rational approximation

UR - https://www.scopus.com/pages/publications/0035591818

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DO - 10.1023/A:1016636532753

M3 - Article

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

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