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• W2055856324 abstract "A local convergence analysis of Newton’s method for solving nonlinear equations, under a majorant condition, is presented in this paper. Without assuming convexity of the derivative of the majorant function, which relaxes the Lipschitz condition on the operator under consideration, convergence, the biggest range for uniqueness of the solution, the optimal convergence radius and results on the convergence rate are established. Besides, two special cases of the general theory are presented as applications." @default.
• W2055856324 created "2016-06-24" @default.
• W2055856324 creator A5026963153 @default.
• W2055856324 date "2011-01-01" @default.
• W2055856324 modified "2023-10-16" @default.
• W2055856324 title "Local convergence of Newton’s method under majorant condition" @default.
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• W2055856324 doi "https://doi.org/10.1016/j.cam.2010.08.038" @default.
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