Local convergence of super Halley's method under weaker conditions on Fréchet derivative in Banach spaces

DOI10.1007/s41478-017-0034-9zbMath1435.65087OpenAlexW2609905241MaRDI QIDQ2306703

Abhimanyu Kumar, Dharmendra Kumar Gupta

Publication date: 24 March 2020

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-017-0034-9

zbMATH Keywords

Banach spacelocal convergenceconvergence ballsuper Halley method

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Local convergence comparison between two novel sixth order methods for solving equations

Cites Work

• Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition
• Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
• Avoiding the computation of the second Fréchet-derivative in the convex acceleration of Newton's method
• Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces
• On the local convergence of a deformed Newton's method under Argyros-type condition
• Local convergence of deformed Halley method in Banach space under Holder continuity conditions
• A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
• Unnamed Item
• Unnamed Item