On the R-order of some recurrences with applications to inclusion- methods
type: Item
instance of: scholarly article
title: On the R-order of some recurrences with applications to inclusion- methods
zbMATH Open document ID: 0572.65033
DOI: 10.1007/BF02238199
published in: Computing
publication date: 1986-01-01T00:00:00Z
review text: We consider some classes of recurrences. Estimates for their R-order are derived. For this purpose we bound the real roots of certain sequences of polynomials. The results are then applied to the determination of efficient inclusion-methods by means of interval analysis.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65F30
zbMATH DE Number: 3913557
zbMATH Keywords: order of convergence
zbMATH Keywords: interval iterations
zbMATH Keywords: recurrences
zbMATH Keywords: inclusion- methods
zbMATH Keywords: interval analysis
author: Jürgen Herzberger
MaRDI profile type: Publication
cites work: Q3345690
cites work: Über ein Iterationsverfahren zur Einschließung der inversen Matrix
cites work: Über die Konvergenzordnungen einiger Klassen intervallmäßiger Iterationsverfahren
cites work: Q5732060
full work available at URL: https://doi.org/10.1007/bf02238199
OpenAlex ID: W1532822827
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description: scientific article; zbMATH DE number 3913557