Year: 2001
Author: Yao-Tang Li, Ji-Cheng Li
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 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 $∏^n_{i=1}a_{ii}b_{ii} ＞ 0,$ 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
where $M(A_k)$ denotes the comparison matrix of $A_k$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8989
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 365–370
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: $H$-matrix Determinant Hadamard product.