A CONVERGENCE THEOREM FOR DIMENSIONALITIES OF MATRIX AND THE EVALUATION O.F EIGENVALUE IN IDEMPOTENT ALGEBRA
Nikolai Krivulin · 2005
In the the case of finite matrices in idempotent algebra the inequalities, joining certain numerical functions and the eigenvalues of dimensionality of matrix, are obtained. These inequalities are used for proving a convergence theorem in studying the asymptotic behavior of dimensionality of matrix. It is shown that a general formula for the evaluation of eigenvalue can be obtained as a certain corollary of this theorem.