On a sixth-order Jarratt-type method in Banach spaces

DOI10.1142/S1793557115500655zbMath1334.65097OpenAlexW2095943371MaRDI QIDQ3461994

Santhosh George, Ioannis K. Argyros

Publication date: 4 January 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557115500655

zbMATH Keywords

numerical exampleBanach spacenonlinear operator equationlocal convergenceFréchet-derivativeJarratt-type methods

Mathematics Subject Classification ID

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

Related Items (2)

Ball convergence for two optimal eighth-order methods using only the first derivative ⋮ Ball convergence of some fourth and sixth-order iterative methods

Cites Work

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• Modified Jarratt method with sixth-order convergence
• Convergence of the variants of the Chebyshev-Halley iteration family under the Hölder condition of the first derivative
• Newton-Kantorovich theorem for a family of modified Halley's method under Hölder continuity conditions in Banach space
• On the \(R\)-order of the Halley method
• A modified Chebyshev's iterative method with at least sixth order of convergence
• An improvement of the Jarratt method
• Some improvements of Jarratt's method with sixth-order convergence
• Convergence of the family of the deformed Euler--Halley iterations under the Hölder condition of the second derivative
• SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES
• Convergence and Applications of Newton-type Iterations
• Some Fourth Order Multipoint Iterative Methods for Solving Equations

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