A method of calculating the spectral radius of a nonnegative matrix and its applications

被引：0
|
作者：
Ibragimov, M [1 ]
机构：
[1] Tashkent State Econ Univ, Tashkent 700063, Uzbekistan
来源：
ECONOMIC THEORY | 2001年 / 17卷 / 02期
关键词：
Leontief model; productiviy; market equilibrium; spectral radius; M-matrices; geometric programming;
D O I：
10.1007/PL00004114
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We present a method of calculating the maximal eigenvalue of an indecomposable nonnegative matrix, which is based on ideas of geometric programming. In addition to that, we obtain estimates for elements of an indecomposable nonnegative matrix by its spectral radius. The results make it possible to obtain new necessary conditions for the productivity of the matrix of coefficients in the Leontief input-output model and have the immediate relation to the analysis of M- matrices. Another interesting application of the developed method is given by conditions of stability of the dynamic system of market equilibrium.
引用
收藏
页码：467 / 480
页数：14
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