Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 1, Pages 81–95 (Mi sjvm501)  
This article is cited in 9 scientific papers (total in 9 papers)

Application of the least square method to the solving linear differential-algebraic equations

V. F. Chistyakov, E. V. Chistyakova

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
Full-text PDF (268 kB) Citations (9)
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Abstract: We consider application of the least square method to the numerical solution of a linear system of ordinary differential equations (ODEs) with an identically singular matrix multiplied a higher derivative by the desired vector-function. We discuss the behavior of the gradient method for minimizing the functional of the residual square in the Sobolev space and some other issues. The results of the numerical experiments are given.
Key words: differential-algebraic equations, index, least square method, gradient methods.
Received: 18.03.2011
Revised: 26.09.2011
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 1, Pages 77–90
DOI: https://doi.org/10.1134/S1995423913010102
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. F. Chistyakov, E. V. Chistyakova, “Application of the least square method to the solving linear differential-algebraic equations”, Sib. Zh. Vychisl. Mat., 16:1 (2013), 81–95; Num. Anal. Appl., 6:1 (2013), 77–90
Citation in format AMSBIB
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\paper Application of the least square method to the solving linear differential-algebraic equations
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\pages 81--95
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\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 1
\pages 77--90
\crossref{https://doi.org/10.1134/S1995423913010102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874803009}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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