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Predictive Mixing for Density Functional Theory (and other Fixed-Point Problems)

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 نشر من قبل Laurence Marks
 تاريخ النشر 2021
  مجال البحث فيزياء
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 تأليف Laurence Marks




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Density functional theory calculations use a significant fraction of current supercomputing time. The resources required scale with the problem size, internal workings of the code and the number of iterations to convergence, the latter being controlled by what is called mixing. This note describes a new approach to handling trust-regions within these and other fixed-point problems. Rather than adjusting the trust-region based upon improvement, the prior steps are used to estimate what the parameters and trust-regions should be, effectively estimating the optimal Polyak step from the prior history. Detailed results are shown for eight structures using both the Good and Bad Multisecan



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