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Mathematics of the USSR-Sbornik, 1985, Volume 52, Issue 2, Pages 331–346
DOI: https://doi.org/10.1070/SM1985v052n02ABEH002894 (Mi sm2056) 		 
Estimates of the rate of convergence for certain minimization algorithms for strongly convex functions

P. A. Vitushkin
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DOI: https://doi.org/10.1070/SM1985v052n02ABEH002894
Abstract: The convergence of certain minimization algorithms for strongly convex functions is investigated. Namely, convergence with the rate of a geometric progression is proved for the method of coordinatewise descent and one variant of the method of feasible directions. An estimate of the ratio of the progression in dependence on the number of variables is given for the method of coordinatewise descent.
Bibliography: 3 titles.
Received: 21.04.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 124(166), Number 3(7), Pages 335–352
Bibliographic databases:
UDC: 519.615.7
MSC: Primary 26B25; Secondary 41A60, 49D07, 49D10, 65D15
Language: English
Original paper language: Russian
Citation: P. A. Vitushkin, “Estimates of the rate of convergence for certain minimization algorithms for strongly convex functions”, Mat. Sb. (N.S.), 124(166):3(7) (1984), 335–352; Math. USSR-Sb., 52:2 (1985), 331–346
Citation in format AMSBIB
\Bibitem{Vit84}
\by P.~A.~Vitushkin
\paper Estimates of the rate of convergence for certain minimization algorithms for strongly convex functions
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 124(166)
\issue 3(7)
\pages 335--352
\mathnet{http://mi.mathnet.ru/sm2056}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=752225}
\zmath{https://zbmath.org/?q=an:0583.90079|0562.90071}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 52
\issue 2
\pages 331--346
\crossref{https://doi.org/10.1070/SM1985v052n02ABEH002894}
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    References:65
     
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