Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of functions of large matrices with Kronecker structure   We consider the numerical approximation of $f({\cal A})b$ where $b\in{\mathbb
R}^{N}$ and $\cal A$ is the sum of Kronecker products, that is ${\cal A}=M_2
\otimes I + I \otimes M_1\in{\mathbb R}^{N\times N}$. Here $f$ is a regular
function such that $f({\cal A})$ is well defined. We derive a computational
strategy that significantly lowers the memory requirements and computational
efforts of the standard approximations, with special emphasis on the
exponential function, for which the new procedure becomes particularly
advantageous. Our findings are illustrated by numerical experiments with
typical functions used in applications.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: physics