English

Positive Definite Tensors to Nonlinear Complementarity Problems

Numerical Analysis 2015-01-13 v1

Abstract

The main purpose of this note is to investigate some kinds of nonlinear complementarity problems (NCP). For the structured tensors, such as, symmetric positive definite tensors and copositive tensors, we derive the existence theorems on a solution of these kinds of nonlinear complementarity problems. We prove that a unique solution of the NCP exists under the condition of diagonalizable tensors.

Keywords

Cite

@article{arxiv.1501.02546,
  title  = {Positive Definite Tensors to Nonlinear Complementarity Problems},
  author = {Maolin Che and Liqun Qi and Yimin Wei},
  journal= {arXiv preprint arXiv:1501.02546},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T07:57:56.811Z