Upper bound of the spectral radius for Hadamard product of nonnegative matrices

Cui Run-qing · Journal of Henan Polytechnic University · 2010

The spectral radius must be one of eigenvalues of the nonnegative matrix.However,it is very difficult to seek the eigenvalues of a matrix.Therefore,it is one of the core problems to estimate the spectral radius of nonnegative matrix in matrix theory.In this paper,by applying the famous Gerschgorin disc theorem and Brauer oval theorem,we proved two estimation for the upper bound of Hadamard product of two non-negative matrix of A and B.

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