Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Jacobi Algorithm in Phase Space: Diagonalizing (skew-) Hamiltonian and
  Symplectic Matrices with Dirac-Majorana Matrices   Jacobi's method is a well-known algorithm in linear algebra to diagonalize
symmetric matrices by successive elementary rotations. We report about the
generalization of these elementary rotations towards canonical transformations
acting in Hamiltonian phase spaces. This generalization allows to use Jacobi's
method in order to compute eigenvalues and eigenvectors of Hamiltonian (and
skew-Hamiltonian) matrices with either purely real or purely imaginary
eigenvalues by successive elementary symplectic "decoupling"-transformations.

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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con