Modified spectral PRP conjugate gradient method for solving tensor eigenvalue complementarity problems

<p style='text-indent:20px;'>Tensor eigenvalue complementary problems, as a special class of are the generalization matrix problems in higher-order. In recent years, tensor complementarity have been studied extensively. The research fields mainly focus on analysis theory and algorithms. this paper, we investigate solution method for four kinds with different structures. By utilizing an equivalence relation to unconstrained optimization propose modified spectral PRP conjugate gradient solve problems. Under mild conditions, global convergence given is also established. Finally, give related numerical experiments results compared inexact Levenberg-Marquardt method, show efficiency proposed verify our theoretical results.</p>