Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and accurate approximations to fractional powers of operators   In this paper we consider some rational approximations to the fractional
powers of self-adjoint positive operators, arising from the Gauss-Laguerre
rules. We derive practical error estimates that can be used to select a priori
the number of Laguerre points necessary to achieve a given accuracy. We also
present some numerical experiments to show the effectiveness of our approaches
and the reliability of the estimates.

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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: alg-geom
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th