Improving the domain of starting points for secant-like methods

DOI10.1016/j.amc.2012.09.070zbMath1311.65048OpenAlexW1976990851MaRDI QIDQ2344657

A. I. Velasco, Natalia Romero, Miguel A. Hernández, José Antonio Ezquerro

Publication date: 15 May 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.070

zbMATH Keywords

nonlinear equations in Banach spacessemilocal convergencesecant-like methodssimplified secant methodaccessibility regiondecreasing region

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

A semilocal convergence for a uniparametric family of efficient secant-like methods ⋮ Enlarging the convergence domain of secant-like methods for equations

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
• A two-step Steffensen's method under modified convergence conditions
• Recurrence relations for rational cubic methods. I: The Halley method
• The secant method and fixed points of nonlinear operators
• A uniparametric family of iterative processes for solving nondifferentiable equations
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• On a Steffensen's type method and its behavior for semismooth equations
• Solving a special case of conservative problems by secant-like methods
• An improvement of the region of accessibility of Chebyshev’s method from Newton’s method
• Region of accessibility for a class of Newton-type iterations

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