Geodesic
Projection method with level control in convex minimization
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 30 (2010) no. 1, pp. 101-120

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We study a projection method with level control for nonsmoooth convex minimization problems. We introduce a changeable level parameter to level control. The level estimates the minimal value of the objective function and is updated in each iteration. We analyse the convergence and estimate the efficiency of this method.
Keywords: projection method, convex nondifferentiable minimization, level control 
Dylewski, Robert. Projection method with level control in convex minimization. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 30 (2010) no. 1, pp. 101-120. http://geodesic.mathdoc.fr/item/DMDICO_2010_30_1_a5/
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