Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenvalue inequalities for positive block matrices with the inradius of
  the numerical range   We prove some eigenvalue inequalities for positive semidefinite matrices
partitioned into four blocks. The inradius of the numerical range of the
off-diagonal block contributes to these estimates. Some related norm
inequalities are given and a conjecture is proposed.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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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: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: gr-qc