二阶锥上的张量二次特征值互补问题

Quadratic Eigenvalue Complementarity Problems of Tensor on Second-order Cone

针对二阶锥上的张量二次特征值互补问题,提出了与之对应的非线性规划转化形式。进一步得到相应非线性规划模型的最优解或稳定点与二阶锥上的张量二次特征值互补问题解的关系,为设计求解张量二次特征值互补问题的算法提供了一条有效途径。

For the quadratic eigenvalue complementarity problem of tensors on the second-order cone,the corresponding nonlinear programming transformation forms are proposed.Furthermore,the relations between the optimal solutions or stable points of the corresponding nonlinear programming models and the solutions of the quadratic eigenvalue complementarity problem of tensors on the second-order cone are proved.This provides an effective way for the design of algorithms of solving the quadratic eigenvalue complementarity problem of tensors on the second-order cone.