An inverse-free Newton-Jarratt-type iterative method for solving equations under the gamma condition

DOI10.1007/s12190-008-0065-0zbMath1159.65055OpenAlexW2050817235MaRDI QIDQ949331

Ioannis K. Argyros

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0065-0

zbMATH Keywords

semilocal convergenceBanach spacenonlinear operator equationFréchet-derivativegamma-type conditionNewton-Jarratt-type methodtwo step Newton-method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Expanding the applicability of some high order Householder-like methods ⋮ On a family of high-order iterative methods under gamma conditions with applications in denoising

Cites Work

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• The Jarratt method in Banach space setting
• Convergence on the iteration of Halley family in weak conditions
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• A multipoint Jarratt-Newton type approximation algorithm for solving nonlinear operator equations in Banach spaces
• Convergence and numerical analysis of a family of two-step Steffensen's methods
• Accessibility Of Solutions By Newton's Method

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