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.
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Original Russian Text Copyright © 2013 Bogdanov V.V.
The author was supported by the Russian Foundation for Basic Research (Grant 11-07-00447) and the Integration Program of the Siberian and Ural Divisions of the Russian Academy of Sciences (Grant 2012-32).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 3, pp. 544–550, May–June, 2013.
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Bogdanov, V.V. Sufficient conditions for the nonnegativity of solutions to a system of equations with a nonstrictly jacobian matrix. Sib Math J 54, 425–430 (2013). https://doi.org/10.1134/S0037446613030063
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DOI: https://doi.org/10.1134/S0037446613030063