A Modification on the Minimum Eigenvalue's Bounds of the Hadamard Product of M-Matrices
In this paper,the minimum lower bound of eigenvalues for the Hadamard product of non-singular M-matrix and the inverse matrix of M-matrix are discussed,two new estimators are obtained,which are easy to calculate,have adjustable parameters and are only related to matrix elements.And two improved estimators are given when A-1is doubly stochastic matrix.It is shown that the new lower bounds are more accurate than some other conclusions through theoretical analysis and numerical examples,and has some advantages and effectiveness.
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