摘要
非奇异H-矩阵是一类有着广泛应用的重要矩阵,但在实用中其判定十分困难。本文根据α-对角占优矩阵与非奇异H-矩阵的关系,给出了一类非奇异H-矩阵的迭代判定准则,对已有的相关结果进行了推广和改进,并用数值算例证实了该判定准则的有效性。
The nonsingular H-matrix was an important class of matrices with wide applications,but it was difficult to determine a nonsingular H-matrix in practice. In this paper,some iterative criteria for a kind of nonsingular H-matrices were given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices. The related results were extented and improved. The validity of the criteria was illustrated by numerical examples.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2016年第1期88-91,10,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(11361038)
内蒙古自然科学与技术研究基金项目(NJZY13159)
内蒙古民族大学自然科学基金项目(NMD1305)
关键词
非奇异H-矩阵
Α-对角占优矩阵
不可约
非零元素链
nonsingular H-matrix
α-diagonally dominant matrix
irreducible
nonzero elements chain
