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17 February 2025
 
  » arxiv » 1508.0069

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Properties of Solution set of Tensor Complementarity Problem
Yisheng Song ; Gaohang Yu ;
Date 1 Aug 2015
AbstractThe tensor complementarity problem is a specially structured nonlinear complementarity problem, and so, it has its particular and nice properties other than ones of the classical nonlinear complementarity problem. In this paper, it is proved that a tensor is a S-tensor if and only if the tensor complementarity problem is feasible, and each Q-tensor is a S-tensor. Furthermore, the solution set of the tensor complementarity problem for all vectors is bounded if and only if the tensor complementarity problem for zero vector has only zero vector solution.
Source arXiv, 1508.0069
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