Geodesic
Matrix tools for the analysis of the balance model and of the linear programming problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 3-11

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For the Leontief balance model, results are formulated that follow directly from the results for dual systems of linear inequalities. For the same model, cash flow matrices are introduced, a balanced price vector and a balanced production vector are found, and units of measurements for the production vector are determined for which the structures of the balanced vectors coincide. For the linear programming problem, a problem with a matrix criterion is formulated.
Keywords: balance model, units of measurement, dual systems, symmetrization of matrices, economic interpretation, positive definiteness. 
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N. N. Astaf'ev. Matrix tools for the analysis of the balance model and of the linear programming problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 3-11. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a0/