A New Estimation of the Upper Bound of the Radius of the Non-negative Matrix Hadamard Product
The spectral radius of non negative matrices is studied,and based on the Geršgorin disk theorem and Brauer egg the-orem of matrices,a new estimation formula for the upper bound of the spectral radius of the Hadamard product of non negative matrices using the dual operation structure and allocation characteristics between matrix product and Hadamard product,as well as the invariance of the eigenvalues of similar matrices is obtained.The relationship between the new estimation formulas based on the inclusion sets of disc-shaped and oval shaped eigenvalues was analyzed and compared.The effectiveness and superiority of the new estimation formula were verified through numerical experiments.
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