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On the Estimations of Bounds for Determinant of Hadamard Product of H-Matices

On the Estimations of Bounds for Determinant of Hadamard Product of H-Matices

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=(aij) and B=(bij) are nonsingular H-matrices of order n and ni=1aiibii0, and Ak and Bk,k=1,2,,n, are the k×k leading principal submatrices of A and B, respectively, then 

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where M(Ak) denotes the comparison matrix of Ak.

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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.

Author Details

Yao-Tang Li

Ji-Cheng Li