A new convergence theorem for Newton-like methods in Banach space and applications

zbMATH Open1152.65431MaRDI QIDQ2381874

Ioannis Konstantinos Argyros

Publication date: 19 September 2007

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

zbMATH Keywords

numerical examplessemilocal convergenceBanach spaceNewton-like methodnonlinear operator equationFréchet-derivativeNewton-Kantorovich hypothesis

Mathematics Subject Classification ID

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

Related Items (7)

Title not available (Why is that?) ⋮ Iterations converging faster than Newton's method to the solutions of nonlinear equations in Banach space ⋮ The convergence ball of Newton-like methods in Banach space and applications ⋮ Title not available (Why is that?) ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?)

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