Finite termination of the proximal point method for convex functions on Hadamard manifolds
From MaRDI portal
Publication:5495590
DOI10.1080/02331934.2012.730050zbMath1293.49111arXiv1205.4763OpenAlexW2075099875MaRDI QIDQ5495590
João Xavier da Cruz Neto, Glaydston C. Bento
Publication date: 5 August 2014
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.4763
convex functionsweak sharp minimaproximal point methodHadamard manifoldsunconstrained optimization problem
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (13)
Inexact proximal point methods for quasiconvex minimization on Hadamard manifolds ⋮ A modified Riemannian Halpern algorithm for nonexpansive mappings on Hadamard manifolds ⋮ An extragradient method for equilibrium problems on Hadamard manifolds ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ A proximal point algorithm for DC functions on Hadamard manifolds ⋮ A Riemannian derivative-free Polak-Ribiére-Polyak method for tangent vector field ⋮ First Order Methods for Optimization on Riemannian Manifolds ⋮ Dual descent methods as tension reduction systems ⋮ A proximal point-type method for multicriteria optimization ⋮ Discrete-time gradient flows and law of large numbers in Alexandrov spaces ⋮ A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence ⋮ Proximal Point Algorithms on Hadamard Manifolds: Linear Convergence and Finite Termination ⋮ Weak sharpness and finite termination for variational inequalities on Hadamard manifolds
Cites Work
- Subgradient method for convex feasibility on Riemannian manifolds
- Gauss-Newton method for convex composite optimizations on Riemannian manifolds
- Convergence of Newton's method for sections on Riemannian manifolds
- Existence of solutions for variational inequalities on Riemannian manifolds
- Proximal subgradient and a characterization of Lipschitz function on Riemannian manifolds
- Newton's method for sections on Riemannian manifolds: Generalized covariant \(\alpha \)-theory
- Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds
- Invariant monotone vector fields on Riemannian manifolds
- Finite termination of the proximal point algorithm
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Unconstrained steepest descent method for multicriteria optimization on Riemannian manifolds
- Trust-region methods on Riemannian manifolds
- Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
- Modified proximal point algorithms on Hadamard manifolds
- Weak Sharp Minima in Mathematical Programming
- Weak Sharp Minima on Riemannian Manifolds
- Nonsmooth analysis on smooth manifolds
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Monotone Operators and the Proximal Point Algorithm
- Newton's method on Riemannian manifolds: covariant alpha theory
- Proximal Point Algorithm On Riemannian Manifolds
- Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization
- Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition
This page was built for publication: Finite termination of the proximal point method for convex functions on Hadamard manifolds