TENSOR QUADRATIC EIGENVALUE COMPLEMENTARITY PROBLEM

摘要

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.