Given a continuous function Open image in new window and Open image in new window, the non-linear complementarity problem @ is to find a vector Open image in new window such that @We say that g has the Globally Uniquely Solvable (@)-property if @ has a unique solution for all Open image in new window and C-property if @ has a convex solution set for all Open image in new window. In this paper, we find a class of non-linear functions that have the @-property and C-property. These functions are constructed by some special tensors which are positive semidefinite. We call these tensors as Gram tensors.
|Data powered by TypesetSpringer Science and Business Media LLC