,ON THE ESTIMATIONS OF BOUNDS FOR DETERMINANT OF HADAMARD PRODUCT OF H-MATRICES

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In this paper, some estimations of bounds for determinant of Hadamard product of H-matrices are given. The main result is the following: if A = (aij) and B = (bij) are nonsingular H-matrices of order n and IIin=1 aiibii > 0, and Aκ and Bκ,k = 1,2,... ,n,are the k × k leading principal submatrices of A and B, respectively, thenwhere Ml(Aκ) denotes the comparison matrix of Aκ.Key words: H-matrix, Determinant, Hadamard product.
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