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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 544–550
(Mi smj2439)
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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
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
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
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https://www.mathnet.ru/eng/smj2439 https://www.mathnet.ru/eng/smj/v54/i3/p544
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Abstract page: | 264 | Full-text PDF : | 76 | References: | 54 |
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