A convergence analysis for directional two-step Newton methods

DOI10.1007/s11075-010-9368-yzbMath1204.65049OpenAlexW2033272950MaRDI QIDQ607524

Saïd Hilout, Ioannis K. Argyros

Publication date: 22 November 2010

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

Full work available at URL: https://doi.org/10.1007/s11075-010-9368-y

zbMATH Keywords

Hilbert spaceerror boundssemilocal convergencenonlinear equationLipschitz/center-Lipschitz conditionrecurrent functionsrecurrent sequencesdirectional two-step Newton methodNewton-Kantorovitch hypotheses

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

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