cocoercive

English

co- +‎ coercive

cocoercive (not comparable)

(mathematics, of an operator) Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x.
- 2015, Patrick L. Combettes, Jean-Christophe Pesquet, “Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators”, in arXiv‎:
  Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.

单词	cocoercive
释义	cocoercive English Etymology co- +‎ coercive Adjective cocoercive (not comparable) (mathematics, of an operator) Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L \|\|Ax - Ay\|\|<sup>2</sup>, where Ax is the operator applied to x. 2015, Patrick L. Combettes, Jean-Christophe Pesquet, “Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators”, in arXiv‎: Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.
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