摘要
本文给出了使用基于矩阵分裂A=M-N的迭代格式Xk+1=M+NXk+M+(k=0,1,2,…)计算矩阵A∈Cm×n的Moore Penrose广义逆A+的迭代法收敛的充要条件以及满足收敛性条件的矩阵M的取法.
In this paper, a necessary and sufficient condition for the convergence of iterative method X_(k+1)=M^+NX_k+M^+(k=0,1,2,…) for the Moore-Penrose inverse of A∈C^(m×n) is establised, and the choice of the matrix M satisfying the convergence condition is also given.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
2004年第3期40-42,共3页
Journal of Nanjing Normal University(Natural Science Edition)
