A third-order modification of Newton method for systems of non-linear equations

DOI10.1016/j.amc.2007.02.030zbMath1193.65077OpenAlexW2059790621MaRDI QIDQ990407

Jisheng Kou

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.030

zbMATH Keywords

iterative methodNewton methodthird-order convergenceroot-findingnon-linear equations

Mathematics Subject Classification ID

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

Related Items (13)

Unified local convergence for a certain family of methods in Banach space ⋮ On Chebyshev‐type methods free from second derivative ⋮ Some iterative methods for solving a system of nonlinear equations ⋮ Variant of Newton's method using Simpson's 3/8th rule ⋮ Ball convergence of the Newton-Gauss method in Banach space ⋮ Larger convergence regions for an efficient two-step iterative method ⋮ A unified model for solving a system of nonlinear equations ⋮ Newton-like methods with increasing order of convergence and their convergence analysis in Banach space ⋮ Local convergence of a Newton-Traub composition in Banach spaces ⋮ A derivative free globally convergent method and its deformations ⋮ Local convergence for multistep high order methods under weak conditions ⋮ Globally convergent algorithms for solving unconstrained optimization problems ⋮ Cubic convergence of parameter-controlled Newton-secant method for multiple zeros

Cites Work

• Unnamed Item
• A note on the Halley method in Banach spaces
• 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.
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• A new continuation Newton-like method and its deformation
• A modified Newton method with cubic convergence: the multivariate case
• Efficient continuation Newton-like method for solving systems of non-linear equations
• A variant of Newton's method with accelerated third-order convergence

This page was built for publication: A third-order modification of Newton method for systems of non-linear equations