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Positive definite and Gram tensor complementarity problems
, K. Palpandi
Published in Springer Science and Business Media LLC
2018
Volume: 12
   
Issue: 3
Pages: 639 - 648
Abstract

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.

About the journal
PublisherData powered by TypesetSpringer Science and Business Media LLC
Open AccessFalse