A new sixth-order Jarratt-type iterative method for systems of nonlinear equations

DOI10.1007/s40065-022-00380-2zbMath1505.65206OpenAlexW4285095648MaRDI QIDQ2091744

Saima Yaseen, Fiza Zafar

Publication date: 2 November 2022

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00380-2

zbMATH Keywords

iterative methodsystems of nonlinear equationsJarratt-type method

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• Several new third-order and fourth-order iterative methods for solving nonlinear equations
• New two-parameter Chebyshev-Halley-like family of fourth and sixth-order methods for systems of nonlinear equations
• A new general eighth-order family of iterative methods for solving nonlinear equations
• Modified Jarratt method with sixth-order convergence
• Convergence analysis of a variant of the Newton method for solving nonlinear equations
• Highly efficient family of iterative methods for solving nonlinear models
• New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
• A modified Newton-Jarratt's composition

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