On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

DOI10.1007/s11075-014-9952-7zbMath1325.47119OpenAlexW1993129287MaRDI QIDQ747736

Eulalia Martínez, Miguel Ángel Hernández-Verón

Publication date: 19 October 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/67651

zbMATH Keywords

iterative methodssemilocal convergencenonlinear equationsorder of convergenceHammerstein equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Nonlinear operators and their properties (47H99)

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Cites Work

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• Semilocal convergence of a family of iterative methods in Banach spaces
• On two families of high order Newton type methods
• The Newton-Kantorovich method under mild differentiability conditions and the Ptâk error estimates
• Third and fourth order iterative methods free from second derivative for nonlinear systems
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• Generalized differentiability conditions for Newton's method
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

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