摘要
给出了求矩阵α β广义逆的迭代公式 ,研究了迭代公式收敛的充分必要条件 ,所得到的迭代法可看作是计算矩阵Moore Penrose逆和加权Moore Penrose逆的迭代法的推广 .
This paper gives the iterative formulas for computing the α β generalized inverse of arbitrary matrix and studies sufficient and necessary conditions of the convergence of the iterative methods for computing the α β generalized inverse.The iterative methods obtained in this paper can be seen as the extension of the iterative methods for computing Moore Penrose inveres and weighted Moore Penrose inverse of arbitrary matrix.
出处
《山东师范大学学报（自然科学版）》
CAS
2000年第1期16-18,共3页
Journal of Shandong Normal University(Natural Science)
关键词
矩阵
广义逆
迭代法
the α β generalized inverse
iterative methods
matrix
