Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Determinantal Inequality for the Geometric Mean with an Application in
  Diffusion Tensor Imaging   We prove that for positive semidefinite matrices $A$ and $B$ the following
determinantal inequality holds: \[ \det(I+A\#B)\le \det(I+A^{1/2}B^{1/2}), \]
where $A\#B$ is the geometric mean of $A$ and $B$. We apply this inequality to
the study of interpolation methods in diffusion tensor imaging.

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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph