Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method
type: Item
instance of: scholarly article
title: Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method
zbMATH Open document ID: 1487.90640
author: Yuya Yamakawa
author: Hiroyuki Sato
published in: Computational Optimization and Applications
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 7490078
zbMATH Keywords: Riemannian manifolds
zbMATH Keywords: Riemannian optimization
zbMATH Keywords: sequential optimality conditions
zbMATH Keywords: approximate KKT conditions
zbMATH Keywords: augmented Lagrangian method
zbMATH Keywords: global convergence
Wikidata QID: Q115384038
describes a project that uses: Manopt.jl
describes a project that uses: ALGENCAN
describes a project that uses: Manopt
describes a project that uses: UCI-ml
describes a project that uses: Pymanopt
describes a project that uses: ROPTLIB
describes a project that uses: ManifoldOptim
MaRDI profile type: Publication
full work available at URL: s10589-021-00336-w
OpenAlex ID: W4205755138
cites work: Q5433140
cites work: A matrix-free implementation of Riemannian Newton's method on the Stiefel manifold
cites work: On Augmented Lagrangian Methods with General Lower-Level Constraints
cites work: Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
cites work: A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
cites work: On sequential optimality conditions for smooth constrained optimization
cites work: Optimality conditions and global convergence for nonlinear semidefinite programming
cites work: Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds
cites work: Practical Augmented Lagrangian Methods for Constrained Optimization
cites work: Simple algorithms for optimization on Riemannian manifolds with constraints
cites work: Manopt, a Matlab toolbox for optimization on manifolds
cites work: ROPTLIB
cites work: Riemannian geometry
cites work: An Augmented Lagrangian Method for Optimization Problems in Banach Spaces
cites work: Riemannian Optimization and Its Applications
cites work: Cholesky QR-based retraction on the generalized Stiefel manifold
cites work: A Riemannian Optimization Approach to the Matrix Singular Value Decomposition
cites work: Optimization algorithms on the Grassmann manifold with application to matrix eigenvalue problems
cites work: A new, globally convergent Riemannian conjugate gradient method
cites work: Riemannian Stochastic Variance Reduced Gradient Algorithm with Retraction and Vector Transport
cites work: Pymanopt: a Python toolbox for optimization on manifolds using automatic differentiation
cites work: Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming
cites work: Q4979597
cites work: Riemannian conjugate gradient methods with inverse retraction
DOI: 10.1007/S10589-021-00336-W
description: scientific article; zbMATH DE number 7490078