Some efficient methods for enclosing simple zeros of nonlinear equations

DOI10.1007/BF01994885zbMath0756.65070OpenAlexW2039120927MaRDI QIDQ1196877

Florian A. Potra, G. E. Alefeld

Publication date: 16 January 1993

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01994885

zbMATH Keywords

numerical experimentsiteration methodinterval arithmetichigh order of convergencedouble length secant stepsenclosing intervals

Mathematics Subject Classification ID

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

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Uses Software

• BRENT

Cites Work

• On Q-order and R-order of convergence
• A new class of interval methods with higher order of convergence
• Methods without secant steps for finding a bracketed root
• Eingrenzung von Lösungen nichtlinearer Gleichungen durch Verfahren mit höherer Konvergenzgeschwindigkeit. (Inclusion of solutions of nonlinear equations by methods with higher convergence rate).
• On Two Higher Order Enclosing Methods of J. W. Schmidt
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