Three step Kurchatov method for nondifferentiable operators

DOI10.1007/s40819-017-0321-9zbMath1397.65083OpenAlexW2586521008MaRDI QIDQ1792230

Yanyan Li

Publication date: 11 October 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-017-0321-9

zbMATH Keywords

semilocal convergencerecurrence relationsnonlinear equationscomputational efficiencyorder of convergenceefficiency indexKurchatov's method

Mathematics Subject Classification ID

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

Related Items (2)

On semilocal convergence of three-step Kurchatov method under weak condition ⋮ Local and semilocal convergence for Kurchatov method under \(\omega\)-continuity conditions

Cites Work

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• Increasing the applicability of Steffensen's method
• A Steffensen type method of two steps in Banach spaces with applications
• An analysis of the semilocal convergence for secant-like methods
• Recurrence relations for rational cubic methods. II: The Chebyshev method
• New sufficient convergence conditions of the secant method for nondifferentiable operators
• Recurrence relations for rational cubic methods. I: The Halley method
• Reduced recurrence relations for the Chebyshev method
• The secant method for nondifferentiable operators
• Semilocal convergence of the secant method under mild convergence conditions of differentiability
• Recurrence relations for super-Halley's method with Hölder continuous second derivative in Banach spaces
• An optimization of Chebyshev's method
• Semilocal convergence of a family of third-order methods in Banach spaces under Hölder continuous second derivative
• On the semilocal convergence of efficient Chebyshev-secant-type methods
• Convergence and numerical analysis of a family of two-step Steffensen's methods
• On the efficiency of two variants of Kurchatov's method for solving nonlinear systems
• Efficient Steffensen-type algorithms for solving nonlinear equations
• On a Kurchatov's method of linear interpolation for solving nonlinear equations
• Semilocal convergence of Stirling's method under Hölder continuous first derivative in Banach spaces
• Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition
• Convergence of Stirling's method under weak differentiability condition
• A Traub type result for one-point iterative methods with memory
• Semilocal convergence for the Super-Halley’s method
• Relaxing convergence conditions for Stirling's method

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