Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal polynomials of the R-linear generalized minimal residual
  method   The speed of convergence of the R-linear GMRES is bounded in terms of a
polynomial approximation problem on a finite subset of the spectrum. This
result resembles the classical GMRES convergence estimate except that the
matrix involved is assumed to be condiagonalizable. The bounds obtained are
applicable to the CSYM method, in which case they are sharp. Then a three term
recurrence for generating a family of orthogonal polynomials is shown to exist,
yielding a natural link with complex symmetric Jacobi matrices. This shows that
a mathematical framework analogous to the one appearing with the Hermitian
Lanczos method exists in the complex symmetric case. The probability of being
condiagonalizable is estimated with random matrices.

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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th