Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the order of the operators in the Douglas-Rachford algorithm   The Douglas-Rachford algorithm is a popular method for finding zeros of sums
of monotone operators. By its definition, the Douglas-Rachford operator is not
symmetric with respect to the order of the two operators. In this paper we
provide a systematic study of the two possible Douglas-Rachford operators. We
show that the reflectors of the underlying operators act as bijections between
the fixed points sets of the two Douglas-Rachford operators. Some elegant
formulae arise under additional assumptions. Various examples illustrate our
results.

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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: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess