Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient solution of symmetric eigenvalue problems from families of
  coupled systems   Efficient solution of the lowest eigenmodes is studied for a family of
related eigenvalue problems with common $2\times 2$ block structure. It is
assumed that the upper diagonal block varies between different versions while
the lower diagonal block and the range of the coupling blocks remains
unchanged. Such block structure naturally arises when studying the effect of a
subsystem to the eigenmodes of the full system. The proposed method is based on
interpolation of the resolvent function after some of its singularities have
been removed by a spectral projection. Singular value decomposition can be used
to further reduce the dimension of the computational problem. Error analysis of
the method indicates exponential convergence with respect to the number of
interpolation points. Theoretical results are illustrated by two numerical
examples related to finite element discretisation of the Laplace operator.

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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: bayes-an