Geodesic
An iterative method for minimizing a convex nonsmooth function on a convex smooth surface
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 611-615

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An iterative algorithm is proposed for the constrained minimization of a convex nonsmooth function on a set given as a convex smooth surface. The convergence of the algorithm in the sense of necessary conditions for a local minimum is proved. 
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     author = {Yu. A. Chernyaev},
     title = {An iterative method for minimizing a~convex nonsmooth function on a~convex smooth surface},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {611--615},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a2/}
}
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Yu. A. Chernyaev. An iterative method for minimizing a convex nonsmooth function on a convex smooth surface. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 611-615. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a2/