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A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems.
- Source :
- Journal of Global Optimization; Mar2021, Vol. 79 Issue 3, p715-732, 18p
- Publication Year :
- 2021
-
Abstract
- This paper discusses second-order cone tensor eigenvalue complementarity problem. We reformulate second-order cone tensor eigenvalue complementarity problem as two constrained polynomial optimizations. For these two reformulated optimizations, Lasserre-type semidefinite relaxation methods are proposed to compute all second-order cone tensor complementarity eigenpairs. The proposed algorithms terminate when there are finitely many second-order cone complementarity eigenvalues. Numerical examples are reported to show the efficiency of the proposed algorithms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09255001
- Volume :
- 79
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Global Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 149030655
- Full Text :
- https://doi.org/10.1007/s10898-020-00954-4