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非奇异块H矩阵的简捷判定

发表时间:2011-07-15  浏览量:1395  下载量:376
全部作者: 汤敏,张娟
作者单位: 湖南科技大学数学与计算科学学院;湘潭大学数学与计算科学学院
摘 要: 非奇异(块)H矩阵是一类应用范围非常广泛的特殊矩阵。应用矩阵分块技术和矩阵范数的性质,构造正对角矩阵,在点H矩阵的基础上,获得非奇异块H矩阵的几个判定方法。并将该判定方法推广到块不可约矩阵和存在块形式的非零元素链的情形,并用数值例子说明其有效性。
关 键 词: 应用数学;非奇异块H矩阵;正对角矩阵;不可约矩阵;非零元素链
Title: Simple criteria for nonsingular block H-matrix
Author: TANG Min, ZHANG Juan
Organization: Department of Mathematics and Computational Science, Hunan University of Science and Technology; Department of Mathematics and Computational Science, Xiangtan University
Abstract: Nonsingular (block) H-matrix is an important class of special matrix with extensive applications. The paper applies block matrix technology and the properties of matrix norm, constructs positively diagonal matrix, and gives some new criteria for nonsingular block H-matrix on the basis of dot H-matrix. Then it extends these methods to the conditions of block irreducible matrix and block non-zero element chain matrix. Finally, it illustrates the effectiveness with a numerical example.
Key words: applied mathematics; nonsingular block H-matrix; positive diagonal matrix; irreducible matrix; non-zero element chain
发表期数: 2011年7月第13期
引用格式: 汤敏,张娟. 非奇异块H矩阵的简捷判定[J]. 中国科技论文在线精品论文,2011,4(13):1243-1247.
 
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