A cubically convergent Steffensen-like method for solving nonlinear equations

DOI10.1016/j.aml.2012.02.055zbMath1253.65072OpenAlexW2047088821MaRDI QIDQ712623

Jovana Džunić, Miodrag S. Petković

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.055

zbMATH Keywords

numerical examplesiterative methodsNewton methodnonlinear equationscomputational efficiencyacceleration of convergence\(R\)-order of convergencemultipoint methods with memoryderivative free methodSteffensen method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (7)

A new family of adaptive methods with memory for solving nonlinear equations ⋮ An efficient family of two-step with-memory methods with convergence order 6 and their dynamics ⋮ Unnamed Item ⋮ A Steffensen type method of two steps in Banach spaces with applications ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ A family of high order derivative-free iterative methods for solving root-finding problems ⋮ Unnamed Item

Cites Work

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• Three-point methods with and without memory for solving nonlinear equations
• A class of quasi-Newton generalized Steffensen methods on Banach spaces
• A new family of eighth-order iterative methods for solving nonlinear equations
• Some fourth-order iterative methods for solving nonlinear equations
• Convergence and numerical analysis of a family of two-step Steffensen's methods
• A family of two-point methods with memory for solving nonlinear equations

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