Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit inverse of tridiagonal matrix with applications in
  autoregressive modeling   We present the explicit inverse of a class of symmetric tridiagonal matrices
which is almost Toeplitz, except that the first and last diagonal elements are
different from the rest. This class of tridiagonal matrices are of special
interest in complex statistical models which uses the first order
autoregression to induce dependence in the covariance structure, for instance,
in econometrics or spatial modeling. They also arise in interpolation problems
using the cubic spline. We show that the inverse can be expressed as a linear
combination of Chebyshev polynomials of the second kind and present results on
the properties of the inverse, such as bounds on the row sums, the trace of the
inverse and its square, and their limits as the order of the matrix increases.

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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph