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Metric Subregularity and the Proximal Point Method

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 نشر من قبل Dennis Leventhal
 تاريخ النشر 2009
  مجال البحث
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 تأليف D. Leventhal




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We examine the linear convergence rates of variants of the proximal point method for finding zeros of maximal monotone operators. We begin by showing how metric subregularity is sufficient for linear convergence to a zero of a maximal monotone operator. This result is then generalized to obtain convergence rates for the problem of finding a common zero of multiple monotone operators by considering randomized and averaged proximal methods.



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