مشخصات پژوهش

صفحه نخست /On perturbed hybrid steepest ...
عنوان On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Variational inequality, Perturbation, Superiorization, Hybrid steepest descent method
چکیده 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 line with a generalized HSDM and discuss how some selections of perturbations enable us to increase the convergence speed. When we specialize these results to constrained minimization then the perturbations become bounded perturbations used in the superiorization methodology (SM). We show usefulness of the SM in studying the constrained convex minimization problem for subdifferentiable functions and proceed with the study of the computational efficiency of the SM compared with the HSDM. In the computational experiment comparing the HSDM with superiorization, the latter seems to be advantageous for the specific experiment
پژوهشگران دو سانگ کیم (نفر سوم)، شهرام سعیدی (نفر دوم)، سید محسن حسینی (نفر اول)