Efficient continuation Newton-like method for solving systems of non-linear equations

DOI10.1016/j.amc.2005.05.031zbMath1094.65049OpenAlexW1999072630MaRDI QIDQ2489331

Xiuhua Wang, Yitian Li, Jisheng Kou

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.031

zbMATH Keywords

global convergencecomparison of methodsnumerical examplesiteration methodsystems of nonlinear equationsroot-findingcontinuation Newton methodsingular Jacobians

Mathematics Subject Classification ID

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

Related Items (13)

A two-step SOR-Newton method for nonsmooth equations ⋮ Note on the improvement of Newton's method for system of nonlinear equations ⋮ Efficient families of Newton's method and its variants suitable for non-convergent cases ⋮ On modified Newton methods with cubic convergence ⋮ A third-order modification of Newton method for systems of non-linear equations ⋮ A family of new Newton-like methods ⋮ On a new class parametrized Newton-like method for semismooth equations ⋮ Higher-order modification of Steffensen's method for solving system of nonlinear equations ⋮ Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem ⋮ Modified Newton's method for systems of nonlinear equations with singular Jacobian ⋮ New third-order method for solving systems of nonlinear equations ⋮ The W4 method: a new multi-dimensional root-finding scheme for nonlinear systems of equations ⋮ Convergence of the modified SOR–Newton method for non-smooth equations

Cites Work

• Unnamed Item
• On a class of quadratic convergence iteration formulae without derivatives
• A new continuation Newton-like method and its deformation
• On the Davidenko-Branin Method for Solving Simultaneous Nonlinear Equations
• On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
• A variant of Newton's method with accelerated third-order convergence
• New high-order convergence iteration methods without employing derivatives for solving nonlinear equations

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