Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sieve-SDP: a simple facial reduction algorithm to preprocess
  semidefinite programs   We introduce Sieve-SDP, a simple facial reduction algorithm to preprocess
semidefinite programs (SDPs). Sieve-SDP inspects the constraints of the problem
to detect lack of strict feasibility, deletes redundant rows and columns, and
reduces the size of the variable matrix. It often detects infeasibility. It
does not rely on any optimization solver: the only subroutine it needs is
Cholesky factorization, hence it can be implemented in a few lines of code in
machine precision. We present extensive computational results on several
problem collections from the literature, with many SDPs coming from polynomial
optimization.

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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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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: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg