关于Kaczmarz算法的一个注记

A Note of Kaczmarz Algorithm

Kaczmarz算法是求解线性方程组的一类重要方法.利用向量内积的性质和矩阵广义逆的有关理论,探讨了该算法的基本原理和特点.

Kaczmarz algorithm is one of the most important methods for solving systems of linear equations. In this paper, we recall this algorithm, and present two approaches for understanding it by using the properties of inner product for vectors and the generalized inverse theory for matrices, respectively.