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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 4, Pages 329–338 (Mi sjvm553)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimization of a quadratic function on the sphere

E. A. Kotel'nikov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentjev pr., Novosibirsk, 630090, Russia
Full-text PDF (426 kB) Citations (1)
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Abstract: In this paper, a sequential algorithm for solving the problem of minimization of a quadratic function on a sphere is proposed. At each iteration of the scheme, a two-dimensional problem of minimization is solved. Numerical comparisons with other methods are presented.
Key words: quadratic optimization on sphere, Cholesky decomposition, trust region, step trajectory, quadratic model.
Received: 26.09.2013
Revised: 20.11.2013
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 4, Pages 274–283
DOI: https://doi.org/10.1134/S1995423914040028
Bibliographic databases:
Document Type: Article
UDC: 519.853.32
Language: Russian
Citation: E. A. Kotel'nikov, “Minimization of a quadratic function on the sphere”, Sib. Zh. Vychisl. Mat., 17:4 (2014), 329–338; Num. Anal. Appl., 7:4 (2014), 274–283
Citation in format AMSBIB
\Bibitem{Kot14}
\by E.~A.~Kotel'nikov
\paper Minimization of a~quadratic function on the sphere
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 4
\pages 329--338
\mathnet{http://mi.mathnet.ru/sjvm553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409491}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 4
\pages 274--283
\crossref{https://doi.org/10.1134/S1995423914040028}
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  • https://www.mathnet.ru/eng/sjvm/v17/i4/p329
    • This publication is cited in the following 1 articles:
    1. E. A. Kotel'nikov, “Non-convex minimization of a quadratic function on a sphere”, Num. Anal. Appl., 8:2 (2015), 135–147  mathnet  crossref  crossref  mathscinet  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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