Verified numerical computation for nonlinear equations

DOI10.1007/BF03186536zbMath1186.65056MaRDI QIDQ849180

G. E. Alefeld

Publication date: 25 February 2010

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jjiam/1265033783

zbMATH Keywords

fixed-point iterationsurvey papernonlinear equationsNewton-like methodsnonsmooth equation

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05) Algorithms with automatic result verification (65G20)

Related Items (3)

Efficient optimal eighth-order derivative-free methods for nonlinear equations ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ Two optimal eighth-order derivative-free classes of iterative methods

Cites Work

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• Enclosing solutions of linear complementarity problems for H-matrices
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• Interval analysis: Theory and applications
• Numerical validation of solutions of complementarity problems: the nonlinear case
• Numerical validation of solutions of linear complementarity problems
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• Interval Methods for Systems of Equations

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