scientific article; zbMATH DE number 6872002

zbMath1408.49021MaRDI QIDQ4642609

Samir Adly, Huynh Van Ngai, Nguyen Van Vu

Publication date: 23 May 2018

Full work available at URL: http://www.heldermann.de/JCA/JCA25/JCA252/jca25025.htm#jca251

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zbMATH Keywords

Newton's methodRiemannian manifoldvariational inclusionmetric regularitygeneralized equation

Mathematics Subject Classification ID

Newton-type methods (49M15) Set-valued and variational analysis (49J53) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Set-valued and function-space-valued mappings on manifolds (58C06) Implicit function theorems; global Newton methods on manifolds (58C15)

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Cites Work

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• Newton's method for solving generalized equations: Kantorovich's and Smale's approaches
• A unifying local convergence result for Newton's method in Riemannian manifolds
• Kantorovich's theorem on Newton's method in Riemannian manifolds
• Extended Newton's method for mappings on Riemannian manifolds with values in a cone
• Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
• Newton's Method for Solving Inclusions Using Set-Valued Approximations
• Newton's method on Riemannian manifolds and a geometric model for the human spine
• Implicit Functions and Solution Mappings
• Optimization Techniques on Riemannian Manifolds
• Newton's method on Riemannian manifolds: covariant alpha theory
• Metric regularity and subdifferential calculus
• Local convergence of Newton's method under a majorant condition in Riemannian manifolds
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• Metric spaces, convexity and nonpositive curvature

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