A new type of recurrence relations for the secant method∗

DOI10.1080/00207169908804870zbMath0967.65073OpenAlexW2139105388MaRDI QIDQ4944664

M. J. Rubio, Miguel A. Hernández

Publication date: 3 September 2001

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

Full work available at URL: https://doi.org/10.1080/00207169908804870

zbMATH Keywords

convergencenumerical exampleerror boundrecurrence relationssecant method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

Improving the applicability of the secant method to solve nonlinear systems of equations ⋮ Improved convergence analysis for the Secant method based on a certain type of recurrence relations ⋮ On the Convergence of Secant-Like Methods ⋮ A modification of Newton's method for nondifferentiable equations. ⋮ Nonstationary vs. stationary iterative processes ⋮ Extending the convergence domain of the secant and Moser method in Banach space ⋮ A uniparametric family of iterative processes for solving nondifferentiable equations

Cites Work

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• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• A note on Newton type iterative methods
• Convergence of Newton-like-iterative methods
• Regula-falsi-Verfahren mit konsistenter Steigung und Majorantenprinzip
• New recurrence relations for Chebyshev method
• Newton's method under mild differentiability conditions with error analysis
• A Unified Convergence Theory for a Class of Iterative Processes
• On the Kantorovich Hypothesis for Newton’s Method

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