Enlarging the convergence domain of secant-like methods for equations

DOI10.11650/TJM.19.2015.4404zbMath1357.65064OpenAlexW2077657635MaRDI QIDQ514870

Saïd Hilout, Ioannis K. Argyros, Ángel Alberto Magreñán, José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4404

zbMATH Keywords

Newton's methodsemilocal convergenceBanach spacenonlinear equationsecant methodsecant-like methodsmajorizing sequencedivided difference operator

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Weaker conditions for the convergence of Newton's method
• Estimating upper bounds on the limit points of majorizing sequences for Newton's method
• On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
• Improving the domain of starting points for secant-like methods
• Convergence conditions for secant-type methods
• Adaptive Approximation of Nonlinear Operators

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