Newton method under weak Lipschitz continuous derivative in Banach spaces.

DOI10.1016/S0096-3003(02)00215-1zbMath1042.65044OpenAlexW1987694004MaRDI QIDQ1406227

Zhengda Huang

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00215-1

zbMATH Keywords

convergenceBanach spaceNewton methodgeneralized Kantorovich conditionmajorant function techniquesSmale conditionweak Lipchitz condition

Mathematics Subject Classification ID

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

Related Items (4)

Kantorovich's majorants principle for Newton's method ⋮ Inexact-Newton method for solving operator equations in infinite-dimensional spaces ⋮ Improved local convergence of Newton's method under weak majorant condition ⋮ Concerning the semilocal convergence of Newton's method and convex majorants

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