Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving singular generalized eigenvalue problems by a rank-completing
  perturbation   Generalized eigenvalue problems involving a singular pencil are very
challenging to solve, both with respect to accuracy and efficiency. The
existing package Guptri is very elegant but may sometimes be time-demanding,
even for small and medium-sized matrices. We propose a simple method to compute
the eigenvalues of singular pencils, based on one perturbation of the original
problem of a certain specific rank. For many problems, the method is both fast
and robust. This approach may be seen as a welcome alternative to staircase
methods.

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The categories of this paper are: atom-ph
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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: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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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: cs
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas