Various Newton-type iterative methods for solving nonlinear equations

DOI10.1016/j.joems.2013.03.001zbMath1281.65078OpenAlexW2026900827MaRDI QIDQ392351

Akhilesh Kumar Singh, Akanksha Srivastava, Manoj Kumar

Publication date: 13 January 2014

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.2013.03.001

zbMATH Keywords

Newton's methodnonlinear equationsorder of convergenceefficiency indexnumerical comparisonderivative free methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

Iterative methods of higher order for nonlinear equations ⋮ Unnamed Item ⋮ A note on the convergence rate of Kumar-Singh-Srivastava methods for solving nonlinear equations ⋮ A subspace expanding technique for global zero finding of multi-degree-of-freedom nonlinear systems ⋮ An iterative method with fifteenth-order convergence to solve systems of nonlinear equations ⋮ Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method ⋮ New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory

Uses Software

• Matlab

Cites Work

• Steffensen type methods for solving nonlinear equations
• Eighth-order iterative methods without derivatives for solving nonlinear equations
• Sixth order derivative free family of iterative methods
• An improvement of the Euler-Chebyshev iterative method
• Construction of Newton-like iteration methods for solving nonlinear equations
• Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
• A variant of Steffensen's method of fourth-order convergence and its applications
• Steffensen type methods for solving non-linear equations
• New family of iterative methods for nonlinear equations
• Derivative-free optimal iterative methods
• Some modifications of Newton's method with fifth-order convergence
• New Third- and Sixth-Order Derivative-Free Techniques for Nonlinear Equations
• Some iterative methods for solving nonlinear equations using homotopy perturbation method
• A variant of Newton's method with accelerated third-order convergence
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