Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized preconditioned locally harmonic residual method for
  non-Hermitian eigenproblems   We introduce the Generalized Preconditioned Locally Harmonic Residual (GPLHR)
method for solving standard and generalized non-Hermitian eigenproblems. The
method is particularly useful for computing a subset of eigenvalues, and their
eigen- or Schur vectors, closest to a given shift. The proposed method is based
on block iterations and can take advantage of a preconditioner if it is
available. It does not need to perform exact shift-and-invert transformation.
Standard and generalized eigenproblems are handled in a unified framework. Our
numerical experiments demonstrate that GPLHR is generally more robust and
efficient than existing methods, especially if the available memory is limited.

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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph