Geodesic
An Algorithm for $LC^1$ Optimization
Yugoslav journal of operations research, Tome 15 (2005) no. 2, p. 301
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In this paper an algorithm for $LC^1$ unconstrained optimization problems, which uses the second order Dini upper directional derivative is considered. The purpose of the paper is to establish general algorithm hypotheses under which convergence occurs to optimal points. A convergence proof is given, as well as an estimate of the rate of convergence.
Keywords: Directional derivative, second order Dini upper directional derivative, uniformly convex functions. 
@article{YJOR_2005_15_2_a8,
     author = {Nada I. {\DJ}uranovi\'c-Mili\v{c}i\'c},
     title = {An {Algorithm} for $LC^1$ {Optimization}},
     journal = {Yugoslav journal of operations research},
     pages = {301 },
     year = {2005},
     volume = {15},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2005_15_2_a8/}
}
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Nada I. Đuranović-Miličić. An Algorithm for $LC^1$ Optimization. Yugoslav journal of operations research, Tome 15 (2005) no. 2, p. 301 . http://geodesic.mathdoc.fr/item/YJOR_2005_15_2_a8/