Implicit steepest descent algorithm for optimization with orthogonality constraints

Optimization problems with orthogonality constraints appear widely in applications from science and engineering. We address these types of problems from a numerical approach. Our new framework combines the steepest gradient descent, using implicit information, with a projection operator in order to...

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Vydané v:	Optimization letters Ročník 16; číslo 6; s. 1773 - 1797
Hlavný autor:	Oviedo, Harry
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Predmet:	Computational Intelligence Mathematics Mathematics and Statistics Numerical and Computational Physics Operations Research/Decision Theory Optimization Original Paper Simulation Eigenvalue problem Orthogonality constrained optimization Total energy minimization Gradient type methods Riemannian optimization
ISSN:	1862-4472, 1862-4480
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