A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators

DOI10.4064/am42-1-4zbMath1337.65045OpenAlexW4231094822MaRDI QIDQ5253673

D. González, Ioannis K. Argyros

Publication date: 27 May 2015

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am42-1-4

zbMATH Keywords

numerical exampleFréchet differentiable operatorNewton methodHammerstein integral equationnonlinear operator equationmajorizing sequencelocal and semilocal convergenceKantorovich majorant method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Third-order iterative methods with applications to Hammerstein equations: a unified approach
• New results on newton-kantorovich approximations with applications to nonlinear integral equations
• Adaptive Approximation of Nonlinear Operators

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