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应用.本文根据α-对角占优矩阵与非奇H-矩阵的关系,给出了非奇H-矩阵的新的迭代判定准则,该判定准则推广和改进了近期的一些结果,数值算例也说明了该判定准则的有效性.
Nonsingular H-matrices play a very important role in matrix theory, economical mathematics, physics and power system theory, etc. In this paper, some new iterative codes for nonsingular H-matrices are given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices, which extend and improve some related results. Effectiveness of these iterative codes is illustrated by the numerical example.
出处
《工程数学学报》
CSCD
北大核心
2013年第5期715-720,共6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
非零元素链
不可约
nonsingular H-matrix
α-diagonally dominant matrix
non-zero elements chain
irreducibility
