【摘要】 利用矩阵对角占优理论,讨论α-对角占优矩阵之间的蕴涵关系,并给出条件最弱的严格α1-双对角占优矩阵的等价表征,作为应用得到非奇异H-矩阵新的判定准则,同时给出判定非奇异H-矩阵的算法,并通过数值结果表明本文判定方法的有效性和优越性。更多还原

【Abstract】 By using the theory of diagonally dominant matrices,we discuss the relations for α-diagonally dominant matrices. We give an equivalence representation for strictly double α1-diagonally dominant matrices. As its application,we obtain some criteria for nonsingular H-matrices. Meanwhile,the corresponding algorithm is given. The numerical results show the effciency of the proposed criteria.更多还原