Optimal normalized structure of demand and value added in a productive leontief model1
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The problem of finding normalized vectors of demand and value added in a productive Leontief model is solved. These vectors maximize the national income. It is shown that if the Leontief matrix is productive and indecomposable, then an optimal normalized structure is determined by positive components of the eigenvectors that correspond to maximum eigenvalues of some symmetric matrices. The results of test calculations for a seven-branch matrix are presented.
KeywordsLeontief matrix static Leontief model extremum quadratic problem eigenvalues and eigenvectors
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