A backward three-term recurrence relation for vector valued continued fractions and its applications
type: Item
instance of: scholarly article
title: A backward three-term recurrence relation for vector valued continued fractions and its applications
zbMATH Open document ID: 1007.65106
DOI: 10.1016/S0377-0427(01)00419-8
author: Gongqin Zhu
author: Ping Xiao
author: Huanxi Zhao
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The present paper gives a backward three-term recurrence relation, which is a solution of an open problem in a work of \textit{P. R. Graves-Morris} [Numer. Math. 42, 331-348 (1983; Zbl 0525.41014)]. Some conclusions about the two backward successive convergents of vector valued continued fractions are established and expression for the vector valued continued fraction in series form is obained. Some theorems of the convergence of the vector valued continued fraction are proved by virtue of the recurrence relation.
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 1787617
zbMATH Keywords: vector valued continued fraction
zbMATH Keywords: backward three-term recurrence relation
zbMATH Keywords: convergence
zbMATH Keywords: rational interpolation
MaRDI profile type: Publication
cites work: Q3889331
cites work: Q3990402
cites work: Vector valued rational interpolants. I
full work available at URL: s0377-0427(01)00419-8
OpenAlex ID: W2092385024
description: scientific article; zbMATH DE number 1787617