Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the growth factor in Gaussian elimination for generalized
  Higham matrices   The Higham matrix is a complex symmetric matrix A=B+iC, where both B and C
are real, symmetric and positive definite and $\mathrm{i}=\sqrt{-1}$ is the
imaginary unit. For any Higham matrix A, Ikramov et al. showed that the growth
factor in Gaussian elimination is less than 3. In this paper, based on the
previous results, a new bound of the growth factor is obtained by using the
maximum of the condition numbers of matrixes B and C for the generalized Higham
matrix A, which strengthens this bound to 2 and proves the Higham's conjecture.

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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ