Semilocal convergence of a computationally efficient eighth-order method in Banach spaces under \(w\)-continuity condition

DOI10.1007/S40995-016-0115-7zbMath1397.65082OpenAlexW2520874336MaRDI QIDQ1787764

Jai Prakash Jaiswal

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-016-0115-7

zbMATH Keywords

error boundsemilocal convergenceBanach spacenonlinear equation\(w\)-continuity condition

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to equations with nonlinear operators (65J15) Numerical approximation and computational geometry (primarily algorithms) (65D99)

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Cites Work

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• Semilocal convergence of multi-point improved super-Halley-type methods without the second derivative under generalized weak condition
• Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency
• Semilocal convergence and \(R\)-order for modified Chebyshev-Halley methods
• Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces
• Semilocal convergence of a modified multi-point Jarratt method in Banach spaces under general continuity condition
• Semilocal convergence of a sixth-order Jarratt method in Banach spaces
• Semilocal convergence of a sixth-order method in Banach spaces
• On the \(R\)-order of the Halley method
• On the convergence of trust region algorithms for unconstrained minimization without derivatives
• Convergence for a class of multi-point modified Chebyshev-Halley methods under the relaxed conditions
• Convergence analysis for a family of improved super-Halley methods under general convergence condition
• Recurrence relations for a Newton-like method in Banach spaces
• New iterations of \(R\)-order four with reduced computational cost
• Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
• Third-order iterative methods under Kantorovich conditions
• Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

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