Extending the convergence domain of Newton’s method for twice Fréchet differentiable operators

DOI10.1142/S0219530515500013zbMath1338.65142MaRDI QIDQ2797882

Ángel Alberto Magreñán, Ioannis K. Argyros

Publication date: 1 April 2016

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Newton's methodfixed pointBanach spaceFréchet-derivativesemi-local convergenceLipschitz/center-Lipschitz condition

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• A note on the Kantorovich theorem for Newton iteration
• On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Convergence and Applications of Newton-type Iterations

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