Nonasymptotic and asymptotic linear convergence of an almost cyclic SHQP Dykstra's algorithm for polyhedral problems

Abstract

We show that an almost cyclic (or generalized Gauss- Seidel) Dykstra's algorithm which incorporates the SHQP (supporting halfspace- quadratic programming) strategy can achieve nonasymptotic and asymptotic linear convergence for polyhedral problems.

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