介绍了求解加权总体最小二乘问题的Schaffrin—Wieser算法和Mahboub算法以及Amiri—Simkooei算法,通过MATLAB软件编程进行数值模拟实验比较了三种方法在近似垂直、近似水平和普通直线拟合中的应用以及在二维坐标转换参数求解中的应用,并分析了三种算法的区别与联系。
The Schaffrin-Wieser algorithm, Mahhoub algorithm and Amiri-Simkooei algorithm were introduced in this paper to solve the weighted total least-squares problems (WLTS). And numerical simulation experiments were proposed by using MATLAB software to compare the application of three methods on the straight line fitting and two dimension coordinate transformation. Furthermore, the distinctions and relations of the three methods were analyzed as well.