Improved estimates on majorizing sequences for the Newton-Kantorovich method

DOI10.1007/s12190-009-0229-6zbMath1191.65057OpenAlexW2020646026MaRDI QIDQ2379881

Ioannis K. Argyros

Publication date: 23 March 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0229-6

zbMATH Keywords

convergenceFréchet differentiable operatorBanach spacemajorizing sequenceHölder conditionsChandrasekhar-integral equationGreen-type differential equationNewton-Kantorovitch method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces ⋮ An improved convergence analysis for the Newton–Kantorovich method using recurrence relations

Cites Work

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