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Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 1, Pages 93–96 (Mi ivm9324)  

This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Conditioned gradient method without line-search

I. V. Konnov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We propose a simple rule for the step-size choice in the conditioned gradient method, which does not require any line-search procedure. It takes into account the current behavior of the method. Its convergence is established under the same assumptions as those for the previously known methods.

Keywords: optimization problems, conditioned gradient method, step-size choice.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00109_a
Ministry of Education and Science of the Russian Federation 1.460.2016/1.4


Full text: PDF file (152 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:1, 82–85

Bibliographic databases:

UDC: 519.85
Received: 02.08.2017

Citation: I. V. Konnov, “Conditioned gradient method without line-search”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 93–96; Russian Math. (Iz. VUZ), 62:1 (2018), 82–85

Citation in format AMSBIB
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\by I.~V.~Konnov
\paper Conditioned gradient method without line-search
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 1
\pages 93--96
\mathnet{http://mi.mathnet.ru/ivm9324}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 1
\pages 82--85
\crossref{https://doi.org/10.3103/S1066369X18010127}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043316001}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Konnov I.V., “Simplified Versions of the Conditional Gradient Method”, Optimization, 67:12 (2018), 2275–2290  crossref  mathscinet  zmath  isi  scopus
    2. I. Konnov, O. Pinyagina, “Splitting method with adaptive step-size”, Mathematical Optimization Theory and Operations Research, Lecture Notes in Computer Science, 11548, eds. M. Khachay, Y. Kochetov, P. Pardalos, Springer, 2019, 46–58  crossref  zmath  isi  scopus
    3. I. Konnov, “A non-monotone conjugate subgradient type method for minimization of convex functions”, J. Optim. Theory Appl., 184:2 (2020), 534–546  crossref  mathscinet  zmath  isi  scopus
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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