Li, Ya; Du, Shouqiang; Zhang, Liping Tensor quadratic eigenvalue complementarity problem. (English) Zbl 07379566 Pac. J. Optim. 17, No. 2, 251-268 (2021). Summary: In this paper, we introduce a class of tensor quadratic eigenvalue complementarity problems, which is an interesting generalization of matrix quadratic eigenvalue complementarity problems on higher order tensors. We give a sufficient condition to guarantee the existence of solutions, and propose a semismooth Newton-type method to solve the tensor quadratic eigenvalue complementarity problem. Finally, some numerical results are reported to show the efficiency of the proposed method. Cited in 2 Documents MSC: 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 15A69 Multilinear algebra, tensor calculus 15A18 Eigenvalues, singular values, and eigenvectors 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:tensor quadratic eigenvalue complementarity problem; strictly copositive tensor; semismooth Newton method PDFBibTeX XMLCite \textit{Y. Li} et al., Pac. J. Optim. 17, No. 2, 251--268 (2021; Zbl 07379566) Full Text: Link