On the local convergence of an eighth-order method for solving nonlinear equations

DOI10.1515/AWUTM-2016-0001OpenAlexW2526812804MaRDI QIDQ2679397

Munish Kansal, Ioannis K. Argyros, Vinay Kanwar

Publication date: 20 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2016-0001

zbMATH Keywords

nonlinear equationlocal convergenceeighth order of convergenceoptimal efficiency index

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Cites Work

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• Basins of attraction for several methods to find simple roots of nonlinear equations
• New modifications of Hansen-Patrick's family with optimal fourth and eighth orders of convergence
• Improved generalized differentiability conditions for Newton-like methods
• Recurrence relations for the super-Halley method
• A family of root finding methods
• Solving frontier problems of physics: the decomposition method
• The Jarratt method in Banach space setting
• Geometric constructions of iterative functions to solve nonlinear equations
• New efficient methods for solving nonlinear systems of equations with arbitrary even order
• Dynamics of the King and Jarratt iterations
• An efficient fourth order weighted-Newton method for systems of nonlinear equations
• A modified Chebyshev's iterative method with at least sixth order of convergence
• Variants of Newton's method using fifth-order quadrature formulas
• New iterations of \(R\)-order four with reduced computational cost
• Increasing the order of convergence of iterative schemes for solving nonlinear systems
• Computational Methods in Nonlinear Analysis
• Convergence and Applications of Newton-type Iterations
• The solution of Kepler's equation, I
• Quadratic equations and applications to Chandrasekhar's and related equations
• Some Fourth Order Multipoint Iterative Methods for Solving Equations

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