Abstract
A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the trust-region subproblems, particular attention is paid to the truncated conjugate-gradient technique. The method is illustrated on problems from numerical linear algebra.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Absil, PA., Baker, C. & Gallivan, K. Trust-Region Methods on Riemannian Manifolds. Found Comput Math 7, 303–330 (2007). https://doi.org/10.1007/s10208-005-0179-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10208-005-0179-9