Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with
  syzygies of polynomials   In this paper, we re-investigate the resolution of Toeplitz systems $T u =g$,
from a new point of view, by correlating the solution of such problems with
syzygies of polynomials or moving lines. We show an explicit connection between
the generators of a Toeplitz matrix and the generators of the corresponding
module of syzygies. We show that this module is generated by two elements of
degree $n$ and the solution of $T u=g$ can be reinterpreted as the remainder of
an explicit vector depending on $g$, by these two generators.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci