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• W2952368819 abstract "A local convergence analysis of Inexact Newton's method with relative residual error tolerance for finding a singularity of a differentiable vector field defined on a complete Riemannian manifold, based on majorant principle, is presented in this paper. We prove that under local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q -linearly to a singularity of the vector field under consideration. Using this result we show that the inexact Newton method to find a zero of an analytic vector field can be implemented with a fixed relative residual error tolerance. In the absence of errors, our analysis retrieve the classical local theorem on the Newton method in Riemannian context." @default.
• W2952368819 created "2019-06-27" @default.
• W2952368819 creator A5020084095 @default.
• W2952368819 creator A5073595560 @default.
• W2952368819 date "2013-09-18" @default.
• W2952368819 modified "2023-09-23" @default.
• W2952368819 title "Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian Manifolds" @default.
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• W2952368819 doi "https://doi.org/10.48550/arxiv.1309.4734" @default.
• W2952368819 hasPublicationYear "2013" @default.
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