Semilocal convergence of a modified multi-point Jarratt method in Banach spaces under general continuity condition

DOI10.1007/s11075-011-9519-9zbMath1250.65074OpenAlexW2000735633MaRDI QIDQ438803

Xiuhua Wang, Jisheng Kou

Publication date: 31 July 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9519-9

zbMATH Keywords

numerical examplenonlinear equations in Banach spacessemilocal convergencerecurrence relationsa priori error bound\(R\)-order of convergenceJarratt's method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (12)

Local convergence of a fifth convergence order method in Banach space ⋮ Ball convergence of a sixth-order Newton-like method based on means under weak conditions ⋮ Local convergence for a multi-point family of super-Halley methods in a Banach space under weak conditions ⋮ Convergence of an iterative method for solving a class of nonlinear equations ⋮ Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation ⋮ Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations ⋮ Local convergence of an optimal eighth order method under weak conditions ⋮ Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions ⋮ Semilocal convergence of a computationally efficient eighth-order method in Banach spaces under \(w\)-continuity condition ⋮ A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative ⋮ Convergence for variants of Chebyshev–Halley methods using restricted convergence domains ⋮ Local convergence of a family of weighted-Newton methods

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