@Article{JCM-19-365,
author = {},
title = {On the Estimations of Bounds for Determinant of Hadamard Product of H-Matices},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {4},
pages = {365--370},
abstract = { 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 = (a_ij) and B=(b_ij) are nonsingular H-matrices of order n and \Sum^n_i=1 a_iib_ii › 0, and A_k and B_k, k=1, 2, \cdots, n, are the k \times k leading principal submatrices of A and B, respectively, then $$ deet (A o B) \ge |a_11b_11| \Sum^n_k=2 [|b_kk| \frac{det M(A_k)}{det M(A_k-1)} + \frac{det M(B_k)}{M(B_k-1)} (\sum^{k-1}_{i=1}|\frac{a_ika_ki}{a_ii}|)],$$ where M(A_k) denotes the comparison matrix of A_k. },
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8989.html}
}