Über die Konvergenzordnung des Intervall-Newton-Verfahrens. (On the order of convergence of the interval-Newton-method)

DOI10.1007/BF02239978zbMath0627.65054OpenAlexW2600892395MaRDI QIDQ1092616

G. E. Alefeld

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02239978

zbMATH Keywords

interval arithmeticorder of convergencecentered forminterval-Newton-methodmean- value form

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05)

Cites Work

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• Computing the range of values of real functions with accuracy higher than second order
• Bounding the slope of polynomial operators and some applications

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