Some global optimization problems on stiefel manifolds

János Balogh, T. Csendes, Tamás Rapcsák

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Optimization on Stiefel manifolds was discussed by Rapcsák in earlier papers, and some global optimization methods were considered and tested on Stiefel manifolds. In the paper, test functions are given with known global optimum points and their optimal function values. A restriction, which leads to a discretization of the problem is suggested, which results in a problem equivalent to the well-known assignment problem.

Original languageEnglish
Pages (from-to)91-101
Number of pages11
JournalJournal of Global Optimization
Volume30
Issue number1
DOIs
Publication statusPublished - 2004

Fingerprint

Stiefel Manifold
Global optimization
Global Optimization
Optimization Problem
Optimal Value Function
Global Optimum
Assignment Problem
Test function
Optimization Methods
Discretization
Restriction
Optimization
Optimization problem
Assignment problem
Value function
method
test

Keywords

  • Nonlinear optimization
  • Quadratic equality constraints
  • Stiefel manifolds

ASJC Scopus subject areas

  • Applied Mathematics
  • Control and Optimization
  • Management Science and Operations Research
  • Global and Planetary Change

Cite this

Some global optimization problems on stiefel manifolds. / Balogh, János; Csendes, T.; Rapcsák, Tamás.

In: Journal of Global Optimization, Vol. 30, No. 1, 2004, p. 91-101.

Research output: Contribution to journalArticle

Balogh, János ; Csendes, T. ; Rapcsák, Tamás. / Some global optimization problems on stiefel manifolds. In: Journal of Global Optimization. 2004 ; Vol. 30, No. 1. pp. 91-101.
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