A Newton-type midpoint method with high efficiency index

DOI10.1016/j.jmaa.2020.124381zbMath1451.65067OpenAlexW3040832992MaRDI QIDQ2207673

Elkin Cárdenas, Rodrigo Castro, Willy Sierra

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124381

zbMATH Keywords

Banach spaceNewton-type methodconvergence orderefficiency index

Mathematics Subject Classification ID

Newton-type methods (49M15) Methods of quasi-Newton type (90C53) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Convergence analysis for the King-Werner method under \(\gamma\)-conditions

Cites Work

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• A new semilocal convergence theorem for Newton's method
• A note on the Kantorovich theorem for Newton iteration
• A two-step Steffensen's method under modified convergence conditions
• On the method of tangent hyperbolas in Banach spaces
• The midpoint method for solving nonlinear operator equations in Banach space
• On the convergence of modified Newton methods for solving equations containing a non-differentiable term
• A simple modification of Newton's method to achieve convergence of order \(1+\sqrt 2\)
• On a third-order Newton-type method free of bilinear operators
• Convergence analysis for a deformed Newton's method with third-order in Banach space under γ-condition
• On local convergence of a Newton-type method in Banach space

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