Semilocal convergence for Super-Halley's method under \(\omega\)-differentiability condition

DOI10.1007/s13160-014-0158-0zbMath1320.65083OpenAlexW2051617972MaRDI QIDQ2352140

Maroju Prashanth, Dharmendra Kumar Gupta

Publication date: 30 June 2015

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-014-0158-0

zbMATH Keywords

recurrence relationsa priori error boundsnonlinear operator equationsR-order of convergence\(\omega\)-continuity condition

Mathematics Subject Classification ID

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

Related Items

Semilocal convergence of Modified Chebyshev-Halley method for nonlinear operators in case of unbounded third derivative, Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces, An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics, On the semi-local convergence analysis of higher order iterative method in two folds

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