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Tr. Inst. Mat., 2016, Volume 24, Number 1, Pages 19–29 (Mi timb254)  

Boolean-valued matrices in the open Leontiev model

P. P. Zabreiko

Belarusian State University

Abstract: The article deals with boolean-valued matrices and the relations between such matrices and usual matrices with nonnegative elements. The main results are concerned with the canonical homomorphism between nonnegative matrices and boolean-valued matrices; this homomorphism allows to calculate the solution supports of linear equations with nonnegative matrices by the supports of right hand sides of these equations. Some applications to the open Leontiev models in mathematical economics are given.

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Document Type: Article
UDC: 517.948:330.105
Received: 01.03.2016

Citation: P. P. Zabreiko, “Boolean-valued matrices in the open Leontiev model”, Tr. Inst. Mat., 24:1 (2016), 19–29

Citation in format AMSBIB
\Bibitem{Zab16}
\by P.~P.~Zabreiko
\paper Boolean-valued matrices in the open Leontiev model
\jour Tr. Inst. Mat.
\yr 2016
\vol 24
\issue 1
\pages 19--29
\mathnet{http://mi.mathnet.ru/timb254}


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