期刊
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
卷 7, 期 3, 页码 303-330出版社
SPRINGER
DOI: 10.1007/s10208-005-0179-9
关键词
numerical optimization on manifolds; trust-region; truncated conjugate-gradient; Steihaug-Toint; global convergence; local convergence; superlinear convergence; symmetric eigenvalue problem
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.
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