广义S-α1型块对角占优矩阵的判定及其谱分析
The Determination and Spectrum of Generalized S-α1 Block Diagonally Dominant Matrices
DOI: 10.12677/AAM.2023.128360, PDF,    科研立项经费支持
作者: 朱开心, 庹 清*, 黄 琦：吉首大学数学与统计学院，湖南 吉首
关键词: 块H-矩阵；G-函数；特征值；广义S-α1型块对角占优矩阵；Block H-Matrix； G-Function； Eigenvalue； Generalized S-α1 Block Diagonally Dominant Matrix
摘要: 利用G-函数的性质研究了一类新的广义块对角占优矩阵及其判定方法。同时，利用该判定方法给出了分块矩阵特征值新的包含域。最后，用数值算例说明了该判定方法的优越性。
Abstract: A new class of generalized block diagonally dominant matrix and its determination method are studied by using the properties of G-function. At the same time, a new bound for eigenvalues of block matrices was given and some examples are given to show the advantages of this new result.
文章引用：朱开心, 庹清, 黄琦. 广义S-α1型块对角占优矩阵的判定及其谱分析[J]. 应用数学进展, 2023, 12(8): 3619-3630. https://doi.org/10.12677/AAM.2023.128360

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