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Journal of Mathematical Sciences
Article . 2015 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2013
Data sources: zbMATH Open
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Two-Dimensional Generalization of the Rutishauser qd -Algorithm

Two-dimensional generalization of the Rutishauser \(qd\)-algorithm
Authors: Dmytryshyn, R. I.;

Two-Dimensional Generalization of the Rutishauser qd -Algorithm

Abstract

The paper deals with the construction of a two-dimensional generalization of the Rutishauser \(qd\)-algorithm. For the algorithm the existence conditions are established. Some examples of analytic functions represented by regular two-dimensional \(C\)-fractions with nonequivalent variables are given.

Keywords

Convergence and divergence of series and sequences, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Meromorphic functions of one complex variable (general theory), Rutishauser \(qd\)-algorithm, two-dimensional \(C\)-fraction

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Average
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