Result: The study of the subgradient algorithm and its convergence on Riemannian manifolds

Title:
The study of the subgradient algorithm and its convergence on Riemannian manifolds
Authors:
Zhang, Peng
Subject Terms:
Numerical optimization and variational techniques, Local Riemannian geometry, Riemannian manifold, sectional curvature, subgradient algorithm, Global Riemannian geometry, including pinching
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/7113323
Accession Number:
edsair.c2b0b933574d..42d9987a46188a2d2dd1913e8e0a1c4d
Database:
OpenAIRE

Further Information

Summary: In this paper, an optimization problem on a Riemannian manifold \(M\) is discussed, and a \(\varepsilon\)-subgradient algorithm for the problem is proposed. Provided that the manifold \(M\) is complete and has non-negative sectional curvature, some convergence results of the infinite sequence generated by the algorithm are proved.