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Beauwens, R. (1976) Semistrict Diagonal Dominance. SIAM Journal on Numerical Analysis, 13, 109-112.
http://dx.doi.org/10.1137/0713013

has been cited by the following article:

  • TITLE: Solvability of the Economic Input-Output Equation by Time Irreversibility

    AUTHORS: Shinji Miura

    KEYWORDS: Input-Output Equation, Solvability, Time Irreversibility, Time Paradox

    JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.4 No.3, August 26, 2014

    ABSTRACT: This paper reinterprets the economic input-output equation as a description of a realized situation without considering decision making. This paper uses the equation that the self-sufficiency rate is added to the Leontief type, and discusses its solvability. The equation has a unique solution if and only if each part of the relevant society satisfies the space-time openness condition. This condition means that commodities which a part of the relevant society possesses are not all inputted to its inside. Moreover, if the process of input and output is time irreversible, each part of the relevant society satisfies the space-time openness condition. Therefore, the solvability of the equation is guaranteed by time irreversibility. This proposition seems to be relevant to the grandfather paradox which is a type of time paradox.