摘要
BitmeadR.R和AndersonD.O在文献[1]中为任意线性方程组的求解提出了一种颇为有效的算法,称为LMS方法.文献[2]详细地论述了算法的收敛性,指出收敛极限是方程组的最小二乘解.本文为使解线性方程组的LMS算法具有更广泛、更方便的应用性.对文献[2]中的LMS算法作了修正.理论和实践证明修正后的算法是成功的.
Bitmead R. R. and Anderson D. O. [1] presented a efficient method called LMS for solving system of linear equations, but [2] discussed the convergence property of the LMS method, and it is pointed out that limit of the iterative series is the least-square solution of the system of linear equations.In order that the LMS method can more widely and more conveniently be applied,in this paper,we medified in [2] LMS method. Both theoretical and practical results shows that the modified methods are successful.
出处
《大学数学》
1996年第4期61-65,共5页
College Mathematics
关键词
线性方程组
LMS方法
收敛
linear equations, LMS method, Convergence.