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

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: H-matrix Determinant Hadamard product
• 年，卷（期）: 2001,（4）
• 页码范围: 365-370
• 页数: 6页
• 分类号: O1
• 语种: 英文

摘要

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.