A unifying semilocal convergence theorem for Newton-like methods based on center Lipschitz conditions

zbMath1152.65433MaRDI QIDQ2383484

Ioannis K. Argyros

Publication date: 19 September 2007

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

zbMATH Keywords

Banach spacenonlinear operator equationNewton-like methodsNewton-Kantorovich theoremcenter Lipschitz operatorMysovskii hypothesis

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

On the domain of starting points of Newton's method under center Lipschitz conditions ⋮ Auxiliary point on the semilocal convergence of Newton's method ⋮ Center conditions on high order derivatives in the semilocal convergence of Newton's method

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