Enclosing the solutions of nonlinear systems of equations

DOI10.1080/00207160008804905zbMath0954.65039OpenAlexW2095044506WikidataQ126256656 ScholiaQ126256656MaRDI QIDQ4950617

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Publication date: 9 April 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008804905

zbMATH Keywords

systems of nonlinear equationscubic convergenceinterval arithmetic methoddiscretization of boundary value problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Interval and finite arithmetic (65G30) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Higher order multi-step interval iterative methods for solving nonlinear equations in \(\mathbb R^n\)

Cites Work

• Grundlagen einer Maschinenintervallarithmetik
• Eingrenzung von Lösungen nichtlinearer Gleichungen durch Verfahren mit höherer Konvergenzgeschwindigkeit. (Inclusion of solutions of nonlinear equations by methods with higher convergence rate).
• Monotone Einschließung von Lösungen nichtlinearer Gleichungssysteme durch überlinear konvergente Mehrschrittverfahren
• Newton’s Method for Convex Operators in Partially Ordered Spaces

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