scientific article; zbMATH DE number 7564720
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Publication:5091971
Van Vu Nguyen, Huynh Van Ngai, Samir Adly
Publication date: 27 July 2022
Full work available at URL: https://www.heldermann.de/JCA/JCA29/JCA293/jca29038.htm#jca293
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riemannian manifoldvariational inclusionquasi-Newton methodssuperlinear convergenceDennis-Moré conditionpoint-to-set vector fields
Variational inequalities (49J40) Methods of quasi-Newton type (90C53) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
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- Nonsmooth optimization techniques on Riemannian manifolds
- Existence of solutions for variational inequalities on Riemannian manifolds
- Practical quasi-Newton methods for solving nonlinear systems
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Variational inequalities on Hadamard manifolds
- A Newton iteration for differentiable set-valued maps
- Broyden updating, the good and the bad!
- Local convergence of quasi-Newton methods under metric regularity
- Uniqueness of the singular points of vector fields on Riemannian manifolds under the \(\gamma\)-condition
- Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
- A Broyden Class of Quasi-Newton Methods for Riemannian Optimization
- Newton's Method for Solving Inclusions Using Set-Valued Approximations
- Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Weak Sharp Minima on Riemannian Manifolds
- Nonsmooth analysis on smooth manifolds
- Broyden's method in Hilbert space
- Strongly Regular Generalized Equations
- Quasi-Newton Methods, Motivation and Theory
- Generalized equations and their solutions, Part I: Basic theory
- Optimization Techniques on Riemannian Manifolds
- Newton's method on Riemannian manifolds: covariant alpha theory
- A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
- Generalizations of the Dennis--Moré Theorem
- Newton-Type Methods for Optimization and Variational Problems
- Implicit Functions and Solution Mappings
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