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Computing
Article . 1983 . 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
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Article . 1983
Data sources: zbMATH Open
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Article . 2020
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https://dx.doi.org/10.1007/bf0...
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Interval operators of a function of which the Lipschitz matrix is an interval M-matrix

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1983 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 31, pages 245-253 (issn: 0010-485X, eissn: 1436-5057, Copyright policy )
Authors: Rudolf Krawczyk;

doi: 10.1007/bf02263434

Interval operators of a function of which the Lipschitz matrix is an interval M-matrix

Abstract

There are several interval iterations by applying interval operators which supply an interval sequence including all solutions of an equationf(x)=0 in a given intervalX0 and which require the knowledge of an interval Lipschitz matrixL off. In this paper statements are made about existence and convergence in case thatL is an intervalM-matrix.

Keywords

convergence, Numerical computation of solutions to systems of equations, Interval and finite arithmetic, interval operators, M-matrix, interval Lipschitz matrix

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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!
14
Average
Top 10%
Top 10%
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