摘要
非奇H-矩阵在矩阵理论、经济数学、数学物理和动力系统理论等方面有着重要的应用,因此很有必要研究其判定问题.本文根据广义严格α-对角占优矩阵的性质以及广义严格α-对角占优矩阵与非奇H-矩阵的关系,通过构造递进系数和细分区间的方法,给出了非奇H-矩阵的细分迭代判别准则,推广和改进了相关已有结果.数值算例说明了所得判别准则的有效性.
Nonsiugular H-matrices play an important role in matrix theory, economical math- ematics, physics and power system theory, and so on, it is very necessary to know whether a matrix is a nonsingular H-matrix or not. In this paper, by utilizing the properties of gener- alized strictly a-diagonally dominant matrices and the relations between generalized strictly α-diagonally dominant matrices and nonsingular H-matrices, some subdivided and iterative criteria for nonsingular H-matrices are given by selecting coefficient progressively and subdi- vided region, which extend and improve some related results. Effectiveness of these criteria is illustrated by numerical examples.
出处
《工程数学学报》
CSCD
北大核心
2013年第3期433-441,共9页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10802068)~~
关键词
非奇H-矩阵
Α-对角占优矩阵
广义严格对角占优矩阵
非零元素链
不可约
nonsingular H-matrix
α-diagonally dominant matrix
generalized strictly diago-nally dominant matrix
non-zero elements chain
irreducibility
