Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency

DOI10.1007/s11075-015-0031-5zbMath1346.65026OpenAlexW1426684994MaRDI QIDQ281481

Jai Prakash Jaiswal

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1007/s11075-015-0031-5

zbMATH Keywords

numerical examplesiterative methodrecurrence relationerror boundsemilocal convergenceBanach spacenonlinear operator equationcomputational efficiencynonlinear integral equation

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) Complexity and performance of numerical algorithms (65Y20)

Related Items (18)

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative ⋮ Ball convergence of an efficient eighth order iterative method under weak conditions ⋮ Semilocal convergence analysis of an iteration of order five using recurrence relations in Banach spaces ⋮ Convergence analysis of a fifth-order iterative method using recurrence relations and conditions on the first derivative ⋮ A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations ⋮ Unnamed Item ⋮ Ball convergence for an eighth order efficient method under weak conditions in Banach spaces ⋮ Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions ⋮ Extended comparison between two Newton–Jarratt sixth order schemes for nonlinear models under the same set of conditions ⋮ Design and analysis of a faster King-Werner-type derivative free method ⋮ Unnamed Item ⋮ Erratum to: ``Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency ⋮ Generalized Kung-Traub method and its multi-step iteration in Banach spaces ⋮ Semilocal convergence of a computationally efficient eighth-order method in Banach spaces under \(w\)-continuity condition ⋮ A fast and efficient composite Newton-Chebyshev method for systems of nonlinear equations ⋮ Semilocal convergence of a computationally efficient iterative method in Banach spaces under weak condition ⋮ On the semi-local convergence analysis of higher order iterative method in two folds ⋮ Local convergence analysis of two iterative methods

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