摘要
本文用Ｓｃｈｍｉｄｔ正交化方法对阻尼ＡＲＴ算法进行了改进，并以此为基础，通过与一种投影迭代法的结合给出一种求解线性方程组的迭代方法，同时指出即使线方程组不相容时，由此法所构造的向量序列将收敛于其Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ广义逆解。
In this paper,using chmidt's orthogonalizing method, ART method is improved. On this basis,combining it with a projective method, we give an iteration method of solving linear equations and point out that the vector sequence {F0(k)} produced by it converges to its Morre-Penrose generalized inverse solution even if it is not compatible.
出处
《CT理论与应用研究（中英文）》
1994年第4期20-23,共4页
Computerized Tomography Theory and Applications
关键词
ART算法
广义逆解
线性方程
迭代法
s:Algebraic Reconstruction Technique
Moore-Penrose generalized inverse solution.
