A Worpitzky theorem for vector valued continued fractions
type: Item
instance of: scholarly article
title: A Worpitzky theorem for vector valued continued fractions
zbMATH Open document ID: 1019.40002
DOI: 10.1016/S0377-0427(02)00815-4
author: Huanxi Zhao
author: Gongqin Zhu
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: Worpitzky's convergence theorem for continued fractions is extended to vector valued continued fractions defined by the Samelson inverse for vectors. The proof is constructive and provides truncation error estimates.
Mathematics Subject Classification ID: 40A15
Mathematics Subject Classification ID: 30B70
zbMATH DE Number: 1915267
zbMATH Keywords: vector valued continued fractions
zbMATH Keywords: Worpitzky
zbMATH Keywords: convergence theorem
zbMATH Keywords: truncation error
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
cites work: Worpitzky's theorem on continued fractions
cites work: Vector valued rational interpolants. I
cites work: Vector-valued, rational interpolants. III
cites work: Multivariate generalized inverse vector-valued rational interpolants
cites work: Continued fractions with applications
cites work: Vector continued fractions
cites work: A backward three-term recurrence relation for vector valued continued fractions and its applications
full work available at URL: s0377-0427(02)00815-4
OpenAlex ID: W2027481497
description: scientific article; zbMATH DE number 1915267