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.