Veranstaltung
Riemannian optimization methods for nonlinear eigenvector problems
FernUni Schweiz
In this talk, we address the numerical solution of nonlinear eigenvector problems arising in computational physics and chemistry. These problems characterize critical points of the underlying energy function on the infinite-dimensional Stiefel manifold. To efficiently compute energy minimizers, we propose a novel Riemannian gradient descent method induced by an energy-adaptive metric. The non-monotone line search and the inexact evaluation of Riemannian gradients substantially improve the overall efficiency of the method. Numerical experiments illustrate the performance of the method and demonstrates its competitiveness with well-established schemes.
(Joint work with R. Altmann and D. Peterseim)
Link zur Website: https://unidistance.ch/en/event/riemannian-optimization-methods-for-nonlinear-eigenvector-problems
Weitere Informationen
Referenten
- University of Augsburg
Tatjana Stykel
Professor in the Institute of Mathematics and in the Centre for Advanced Analytics and Predictive Sciences (CAAPS)
Veranstalter
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FernUni Schweiz
Schinerstrasse 18
3900 Brig
Telefon +41 (0) 27 922 70 50
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Art der Veranstaltung: Kolloquium/Symposium/Kongress
Zielpublikum: Fachleute, Studierende, Schulklassen - Sekundarstufe II
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