Simple yet efficient Newton-like method for systems of nonlinear equations

DOI10.1007/s10092-015-0157-9zbMath1378.65108OpenAlexW1917870086MaRDI QIDQ331807

Janak Raj Sharma, Rangan Kumar Guha

Publication date: 27 October 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-015-0157-9

zbMATH Keywords

Newton's methodnumerical examplessystems of nonlinear equationscomputational efficiencyorder of convergencemultipoint methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

Unnamed Item ⋮ On the complexity of a unified convergence analysis for iterative methods ⋮ Convergence analysis of a three step Newton-like method for nonlinear equations in Banach space under weak conditions ⋮ Accelerated Dai-Liao projection method for solving systems of monotone nonlinear equations with application to image deblurring ⋮ A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models ⋮ Continuous Variable Neighborhood Search (C-VNS) for Solving Systems of Nonlinear Equations ⋮ Sharp estimation of local convergence radius for the Picard iteration ⋮ High-order iterations for systems of nonlinear equations

Uses Software

• Mathematica
• MPFR

Cites Work

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• MPFR
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• Optimal Order of One-Point and Multipoint Iteration
• Some Fourth Order Multipoint Iterative Methods for Solving Equations
• A note on \(Q\)-order of convergence
• A modified Newton-Jarratt's composition

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