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^*

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

1 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	151-165
Sivumäärä	15
Julkaisu	Numerical Algorithms
Vuosikerta	26
Numero	2
DOI - pysyväislinkit	https://doi.org/10.1023/A:1016636532753
Tila	Julkaistu - 2001
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1023/A:1016636532753

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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",

author = "Christer Glader",

year = "2001",

doi = "10.1023/A:1016636532753",

language = "English",

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pages = "151--165",

journal = "Numerical Algorithms",

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T1 - A method for rational Chebyshev approximation of rational functions on the unit disk and on the unit interval

AU - Glader, Christer

PY - 2001

Y1 - 2001

N2 - 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.

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

U2 - 10.1023/A:1016636532753

DO - 10.1023/A:1016636532753

M3 - Article

AN - SCOPUS:0035591818

SN - 1017-1398

VL - 26

SP - 151

EP - 165

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 2

ER -

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

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