Publication:
A note on the rate of convergence of poles of generalized hermite-padé approximants

Issued Date

2020-01-01

Resource Type

Article

ISSN

16860209

Other identifier(s)

2-s2.0-85084457186

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Thai Journal of Mathematics. Vol.2020, No.Special Issue (2020), 25-37

Suggested Citation

Nattapong Bosuwan A note on the rate of convergence of poles of generalized hermite-padé approximants. Thai Journal of Mathematics. Vol.2020, No.Special Issue (2020), 25-37. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/56226

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Title

A note on the rate of convergence of poles of generalized hermite-padé approximants

Author(s)

Nattapong Bosuwan

Other Contributor(s)

South Carolina Commission on Higher Education
 Mahidol University

Abstract

© 2020 by the Mathematical Association of Thailand. We consider row sequences of three generalized Hermite-Padé approximations (orthogonal Hermite-Padé approximation, Hermite-Padé-Faber approximation, and multipoint Hermite-Padé approximation) of a vector of the approximated functions F and prove that if F has a system pole of order v, then such system pole attracts at least v zeros of denominators of these approximants at the rate of a geometric progression. Moreover, the rates of these attractions are estimated.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/56226

Collections

Scopus 2020