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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 544–550 (Mi smj2439)  

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

Sufficient conditions for the nonnegativity of solutions to a system of equations with a nonstrictly jacobian matrix

V. V. Bogdanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (265 kB) Citations (3)
References:
Abstract: For the tridiagonal system of linear algebraic equations whose matrix is nonstrictly Jacobi diagonally dominant in columns we establish sufficient conditions for all components of the solution to be nonnegative.
Keywords: system of linear equations, matrix of monotone kind, tridiagonal matrix, nonnegative solution.
Received: 14.11.2011
Revised: 16.01.2013
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 3, Pages 425–430
DOI: https://doi.org/10.1134/S0037446613030063
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: V. V. Bogdanov, “Sufficient conditions for the nonnegativity of solutions to a system of equations with a nonstrictly jacobian matrix”, Sibirsk. Mat. Zh., 54:3 (2013), 544–550; Siberian Math. J., 54:3 (2013), 425–430
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v54/i3/p544
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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