The gradient projection method with Armijo's step size on manifolds
type: Item
instance of: scholarly article
title: The gradient projection method with Armijo's step size on manifolds
zbMATH Open document ID: 1481.65087
DOI: 10.1134/S0965542521110038
author: R. A. Kamalov
author: Maxim V. Balashov
published in: Computational Mathematics and Mathematical Physics
publication date: 2021-12-14T00:00:00Z
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 7444577
zbMATH Keywords: proximal smoothness
zbMATH Keywords: gradient projection method
zbMATH Keywords: nonconvex optimization problem
zbMATH Keywords: Armijo step size
zbMATH Keywords: matrix manifolds
MaRDI profile type: Publication
cites work: Convex programming in Hilbert space
cites work: Q5576518
cites work: Projection-like retractions on matrix manifolds
cites work: The Geometry of Algorithms with Orthogonality Constraints
cites work: Q5433140
cites work: The Gradient Projection Method Along Geodesics
cites work: Minimizing a quadratic over a sphere
cites work: Q4241150
cites work: Q4310716
cites work: Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality
cites work: Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds
cites work: Nonmonotone Spectral Projected Gradient Methods on Convex Sets
cites work: The gradient projection algorithm for smooth sets and functions in nonconvex case
cites work: Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods
cites work: Introductory lectures on convex optimization. A basic course.
cites work: Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
cites work: Strong and Weak Convexity of Sets and Functions
cites work: Q4856862
cites work: Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
cites work: Gradient projection method on matrix manifolds
full work available at URL: s0965542521110038
OpenAlex ID: W4200492738
description: scientific article; zbMATH DE number 7444577