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
Speedup of lexicographic optimization by superiorization and its applications to cancer radiotherapy treatment
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DOI: 10.1088/1361-6420/33/4/044012
Abstract: Multicriteria optimization problems occur in many real life applications, for example in cancer radiotherapy treatment and in particular in intensity modulated radiation therapy (IMRT). In this work we focus on optimization problems with multiple objectives… read more here.
Keywords: superiorization; radiotherapy treatment; lexicographic optimization; optimization ... See more keywords
Superiorization with level control
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DOI: 10.1088/1361-6420/aa5d79
Abstract: The convex feasibility problem is to find a common point of a finite family of closed convex subsets. In many applications one requires something more, namely finding a common point of closed convex subsets which… read more here.
Keywords: level control; superiorization; methodology; convex feasibility ... See more keywords