Accelerated methods of order \(2p\) for systems of nonlinear equations

DOI10.1016/J.CAM.2009.11.018zbMath1201.65078OpenAlexW1728782603MaRDI QIDQ847254

José L. Hueso, Alicia Cordero, Eulalia Martínez, Juan Ramón Torregrosa Sánchez

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.018

zbMATH Keywords

system of nonlinear equationsnumerical examplesNewton methodfixed point iterationconvergence ordermidpoint methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (5)

A Novel Method to Solve Nonlinear Klein-Gordon Equation Arising in Quantum Field Theory Based on Bessel Functions and Jacobian Free Newton-Krylov Sub-Space Methods ⋮ Efficient high-order methods based on golden ratio for nonlinear systems ⋮ Several improvements of the 2-point third order midpoint iterative method using weight functions ⋮ On a novel fourth-order algorithm for solving systems of nonlinear equations ⋮ A quartically convergent Jarratt-type method for nonlinear system of equations

Cites Work

• A family of multi-point iterative methods for solving systems of nonlinear equations
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• A variant of Cauchy's method with accelerated fifth-order convergence.
• An optimization of Chebyshev's method
• A modified Chebyshev's iterative method with at least sixth order of convergence
• Variants of Newton's method using fifth-order quadrature formulas
• A Steffensen's type method in Banach spaces with applications on boundary-value problems
• A variant of Newton's method with accelerated third-order convergence
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