摘要
利用矩阵分块和α-对角占优矩阵的性质,给出了一类局部弱α-对角占优矩阵为广义严格对角占优矩阵及其比较阵为非奇异M-矩阵的若干充分条件,拓展了广义严格对角占优矩阵的判定准则.
By using the theorem of partitioning of matrices and properties α-diagonally dominant matrices,some sufficient conditions for weak α-diagonally dominant matrices to be generalized strictly diagonally dominant matrices and comparative matrices to be nonsingular matrices.The distribution theorem of character value is given and the determined standard of generalized strictly diagonally dominant matrices is expounded.
出处
《北华大学学报（自然科学版）》
CAS
2010年第6期492-494,共3页
Journal of Beihua University（Natural Science）
基金
吉林省教育厅“十一五”科学研究项目(2009-158)
关键词
局部弱α-对角占优矩阵
广义对角占优矩阵
M-矩阵
Local weak α-diagonally dominant matrices
generalized diagonally dominant matrices
M-ratrix
