Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of Some Classes of Structured Tensors   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.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
3
The categories of this paper are: physics