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2000 Mathematics Subject Classification: 90C25, 68W10, 49M37.
A general framework of the (parallel variable transformation)
PVT-type algorithm, called the PVT-MYR algorithm, for minimizing a non-smooth convex function is proposed, via the Moreau-Yosida regularization.
As a particular scheme of this framework an ε-scheme is also presented. The
global convergence of this algorithm is given under the assumptions of strong
convexity of the objective function and an ε-descent condition determined
by...
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