Geodesic
New variants of the generalized level method for minimization of convex nondifferentiable functions taking infinite values
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2037-2054

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New variants of the generalized level method for minimization of convex Lipschitz functions on a compact set with a nonempty interior are proposed. These variants include the well-known generalized and classical level methods. For the new variants, an estimate of the convergence rate is found, including the variants in which the auxiliary problems are solved approximately. 
@article{ZVMMF_2007_47_12_a6,
     author = {N. A. Sokolov},
     title = {New variants of the generalized level method for minimization of convex nondifferentiable functions taking infinite values},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2037--2054},
     publisher = {mathdoc},
     volume = {47},
     number = {12},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a6/}
}
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N. A. Sokolov. New variants of the generalized level method for minimization of convex nondifferentiable functions taking infinite values. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 2037-2054. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a6/