摘要
给出了局部(α,β)-对角占优矩阵的相关概念。对于复矩阵A,在具非零元素链的局部(α,β)-对角占优矩阵的条件下,通过建立正对角阵X,转化为具非零元素链的α-对角占优矩阵,从而获得了A为非奇H-矩阵的判别准则。结果表明,提出这种延伸的局部(α,β)-对角占优矩阵的概念,是对矩阵的对角占优理论的完善,是研究H-矩阵、M-矩阵的有力工具。
The concepts of local （α,β）-diagonally dominant matrix were introduced. Under the condition of local （α,β）- diagonally dominant matrix with a nonzero elements chain, by constructing a positive diagonal matrix X, the conclusion that B =AX was α- diagonally dominant matrix with a nonzero elements chain was presented, and a criterion for nonsingular H- matrix was obtained. The outcome implies that the extended local （α,β） -diagonally dominant concept is a development for matrix＇s diagonally dominance＇s theory, and a strong tool for researching H-matrix and M-matrix.
出处
《辽宁石油化工大学学报》
CAS
2007年第3期79-81,85,共4页
Journal of Liaoning Petrochemical University
基金
辽宁省教育厅高校科研项目(2004F100)
关键词
非奇H-矩阵
非零元素链
局部(α
β)-对角占优
Nonsingular H-matrix
Nonzero elements chain
Local （α，β）-doubly diagonally dominance
