Tensor Complementarity Problem and Semi-positive Tensors

نویسندگان

  • Yisheng Song
  • Liqun Qi
چکیده

In this paper, we prove that a real tensor is strictly semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any nonnegative vector and a real tensor is semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any positive vector. It is showed that a real symmetric tensor is a (strictly) semi-positive tensor if and only if it is (strictly) copositive.

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عنوان ژورنال:
  • J. Optimization Theory and Applications

دوره 169  شماره 

صفحات  -

تاریخ انتشار 2016