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arXiv · 1403.1118

Properties of Some Classes of Structured Tensors

Yisheng Song·Liqun Qi
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Abstract

In this paper, we extend some classes of structured matrices to higher order tensors. We discuss their relationships with positive semi-definite tensors and some other structured tensors. We show that every principal sub-tensor of such a structured tensor is still a structured tensor in the same class, with a lower dimension. The potential links of such structured tensors with optimization, nonlinear equations, nonlinear complementarity problems, variational inequalities and the nonnegative tensor theory are also discussed.

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Yisheng Song, Liqun Qi. 2014-06-20. Properties of Some Classes of Structured Tensors. https://arxiv.org/abs/1403.1118

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