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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2012, Issue 1, Pages 3–8
(Mi vspui1)
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Applied mathematics
Finding stationary points of functions allowing nonhomogenious approximations of augment
M. E. Abbasov St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Abstract:
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.
Accepted: October 20, 2011
Citation:
M. E. Abbasov, “Finding stationary points of functions allowing nonhomogenious approximations of augment”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 1, 3–8
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https://www.mathnet.ru/eng/vspui1 https://www.mathnet.ru/eng/vspui/y2012/i1/p3
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Abstract page: | 417 | Full-text PDF : | 61 | References: | 61 | First page: | 14 |
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