Geodesic
Finding stationary points of functions allowing nonhomogenious approximations of augment
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 3-8 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two approaches for constructing first degree approximations of a nonsmooth function (by means of exhausters and coexhausters) are studied. Advantages and disadvantages of each of them are discussed. A numerical method for finding stationary points of functions allowing nonhomogenious approximations of augment is presented. Convergence of this algorithm is proved.
Keywords: nonsmooth analysis, nondifferentiable optimization, codifferentiable functions, exhausters, coexhausters. 
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M. E. Abbasov. Finding stationary points of functions allowing nonhomogenious approximations of augment. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 3-8. http://geodesic.mathdoc.fr/item/VSPUI_2012_1_a0/

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