On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00818-3
Abstract: For finding the minimum value of differentiable functions over a nonempty closed convex subset of a Hilbert space, the hybrid steepest descent method (HSDM) can be applied. In this work, we study perturbed algorithms in… read more here.
Keywords: steepest descent; subdifferentiable functions; hybrid steepest; superiorization ... See more keywords
Fejér-monotone hybrid steepest descent method for affinely constrained and composite convex minimization tasks*
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1505885
Abstract: ABSTRACT This paper introduces the Fejér-monotone hybrid steepest descent method (FM-HSDM), a new member to the HSDM family of algorithms, for solving affinely constrained minimization tasks in real Hilbert spaces, where convex smooth and non-smooth… read more here.
Keywords: steepest descent; hybrid steepest; fej monotone; method ... See more keywords