A class of Steffensen type methods with optimal order of convergence

From MaRDI portal
Publication:544063

DOI10.1016/j.amc.2011.02.067zbMath1216.65055OpenAlexW2000643599MaRDI QIDQ544063

Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 14 June 2011

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

Full work available at URL: http://hdl.handle.net/10251/52542




Related Items (30)

The Fibonacci family of iterative processes for solving nonlinear equationsSeveral iterative methods with memory using self-acceleratorsA class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problemDesign and Analysis of a New Class of Derivative-Free Optimal Order Methods for Nonlinear EquationsAn optimal and efficient general eighth-order derivative free scheme for simple rootsOn a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stabilityAn efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equationsTwo general higher-order derivative free iterative techniques having optimal convergence orderOn an Aitken-Newton type methodA new class of derivative-free root solvers with increasing optimal convergence order and their complex dynamicsA family of derivative-free methods with high order of convergence and its application to nonsmooth equationsThree new optimal fourth-order iterative methods to solve nonlinear equationsAlgorithm for forming derivative-free optimal methodsSolving nondifferentiable nonlinear equations by new Steffensen-type iterative methods with memoryInterval Ostrowski-type methods with guaranteed convergenceTwo bi-accelerator improved with memory schemes for solving nonlinear equationsNonstationary vs. stationary iterative processesA new technique to obtain derivative-free optimal iterative methods for solving nonlinear equationsSome novel optimal eighth order derivative-free root solvers and their basins of attractionModifications of Newton's method to extend the convergence domainDynamics and fractal dimension of Steffensen-type methodsA Steffensen type method of two steps in Banach spaces with applicationsA family of high order derivative-free iterative methods for solving root-finding problemsA class of third order iterative Kurchatov-Steffensen (derivative free) methods for solving nonlinear equationsSolving nonlinear problems by Ostrowski-Chun type parametric familiesFourth-Order Derivative-Free Optimal Families of King’s and Ostrowski’s MethodsA general class of optimal eighth-order derivative free methods for nonlinear equationsSome real-life applications of a newly constructed derivative free iterative schemeFamilies of optimal derivative-free two- and three-point iterative methods for solving nonlinear equationsDetermination of multiple roots of nonlinear equations and applications



Cites Work


This page was built for publication: A class of Steffensen type methods with optimal order of convergence