Solving nonsmooth equations using family of derivative-free optimal methods

DOI10.1016/j.joems.2012.10.007zbMath1277.65033OpenAlexW2087815951MaRDI QIDQ387832

M. A. Hafiz, Mohamed S. M. Bahgat

Publication date: 17 December 2013

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2012.10.007

zbMATH Keywords

convergence analysisiterative methodsnonsmooth equationsnonlinear equationsoptimal order of convergencederivative-free methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to single equations (65H05)

Related Items (9)

Several two-point with memory iterative methods for solving nonlinear equations ⋮ A splitting method to solve a single nonlinear equation with derivative-free iterative schemes ⋮ On a numerical technique for finding multiple zeros and its dynamic ⋮ IMPROVED BI-ACCELERATOR DERIVATIVE FREE WITH MEMORY FAMILY FOR SOLVING NONLINEAR EQUATIONS ⋮ Solving nondifferentiable nonlinear equations by new Steffensen-type iterative methods with memory ⋮ Two bi-accelerator improved with memory schemes for solving nonlinear equations ⋮ A higher-order Levenberg-Marquardt method for nonlinear equations ⋮ Improving R-Order Convergence of Derivative Free with Memory Method by Two Self-accelerator Parameters ⋮ Three-point iterative algorithm in the absence of the derivative for solving nonlinear equations and their basins of attraction

Cites Work

• Unnamed Item
• Unnamed Item
• Steffensen type methods for solving nonlinear equations
• Some new iterative methods for nonlinear equations
• A family of derivative-free methods for nonlinear equations
• Novel computational iterative methods with optimal order for nonlinear equations
• Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
• Steffensen type methods for solving non-linear equations
• Modified Newton's method with third-order convergence and multiple roots
• A modified Newton method for rootfinding with cubic convergence.
• Some variant of Newton's method with third-order convergence.
• On Newton-type methods with cubic convergence
• Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation
• A Steffensen-like method and its higher-order variants
• New Third- and Sixth-Order Derivative-Free Techniques for Nonlinear Equations
• Optimal Order of One-Point and Multipoint Iteration
• A variant of Newton's method with accelerated third-order convergence

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