块H-矩阵新的等价表征及谱分析
New Equivalent Characterizations and Spectral Analysis of Block H-Matrices
DOI: 10.12677/aam.2025.149407, PDF,    科研立项经费支持
作者: 朱开心, 谢智慧*, 黄 琦：湖南科技学院理学院，湖南 永州
关键词: 块H-矩阵；块严格对角占优矩阵；谱分析；Block H-Matrix； Block Strictly Diagonal Dominance Matrix； Spectral Analysis
摘要: 本文首先给出了块严格 S−α 对角占优矩阵的一类等价条件，从而得到非奇异块H-矩阵新的判定条件。同时，给出了一类非奇异H-矩阵的特征值范围。最后通过例子说明了判定条件的有效性以及对近期结果的改进。
Abstract: This paper first presents a class of equivalent conditions for block strictly S−α diagonally dominant matrices, thereby obtaining new criteria for nonsingular block H-matrices. Meanwhile, it provides the eigenvalue range of a class of nonsingular H-matrices. Finally, examples are given to illustrate the effectiveness of the criteria and the improvement over recent results.
文章引用：朱开心, 谢智慧, 黄琦. 块H-矩阵新的等价表征及谱分析[J]. 应用数学进展, 2025, 14(9): 130-140. https://doi.org/10.12677/aam.2025.149407

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