Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized eigenvalue algorithm for tridiagonal matrix pencils based
  on a nonautonomous discrete integrable system   A generalized eigenvalue algorithm for tridiagonal matrix pencils is
presented. The algorithm appears as the time evolution equation of a
nonautonomous discrete integrable system associated with a polynomial sequence
which has some orthogonality on the support set of the zeros of the
characteristic polynomial for a tridiagonal matrix pencil. The convergence of
the algorithm is discussed by using the solution to the initial value problem
for the corresponding discrete integrable system.

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The categories of this paper are: astro-ph
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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: eess
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin