Convergence analysis of a sixth-order method under weak continuity condition with first-order Fréchet derivative

DOI10.1007/978-981-16-8177-6_12zbMath1497.65095OpenAlexW4254506869MaRDI QIDQ2089424

Yanyan Li

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8177-6_12

zbMATH Keywords

recurrence relationBanach spacelocal convergenceW-continuity condition

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces
• Semilocal convergence of a continuation method with Hölder continuous second derivative in Banach spaces
• A Stirling-like method with Hölder continuous first derivative in Banach spaces
• Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
• Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems
• On radially symmetric vibrations of functionally graded non-uniform circular plate including non-linear temperature rise
• Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
• Semilocal convergence of Stirling's method under Hölder continuous first derivative in Banach spaces

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