Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions

DOI10.2478/awutm-2019-0006OpenAlexW3152371559MaRDI QIDQ2678663

Santhosh George, Ioannis K. Argyros, Shobha M. Erappa

Publication date: 24 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/awutm-2019-0006

zbMATH Keywords

Newton's methodlocal convergenceradius of convergence

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• An efficient fifth order method for solving systems of nonlinear equations
• Improved local analysis for a certain class of iterative methods with cubic convergence
• On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
• Variants of Newton's method for functions of several variables
• On Newton-type methods with cubic convergence
• A modified Newton method with cubic convergence: the multivariate case
• Variants of Newton's method using fifth-order quadrature formulas
• Computational theory of iterative methods.
• Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions
• Some modifications of Newton's method with fifth-order convergence
• LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS
• A modified Newton-Jarratt's composition

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