Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupled Structure-Preserving Doubling Algorithm with Truncation for
  Large-Scale Algebraic Riccati Equations   In \emph{Guo et al, arXiv:2005.08288}, we propose a decoupled form of the
structure-preserving doubling algorithm (dSDA). The method decouples the
original two to four coupled recursions, enabling it to solve large-scale
algebraic Riccati equations and other related problems. In this paper, we
consider the numerical computations of the novel dSDA for solving large-scale
continuous-time algebraic Riccati equations with low-rank structures (thus
possessing numerically low-rank solutions). With the help of a new truncation
strategy, the rank of the approximate solution is controlled. Consequently,
large-scale problems can be treated efficiently. Illustrative numerical
examples are presented to demonstrate and confirm our claims.

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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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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: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph