从数据拟合的角度探讨总体最小二乘方法的适用性,给出总体最小二乘残差距离与最小二乘残差距离之间的关系表达式并推广到多维情形;研究总体最小二乘准则、数据最小二乘准则和最小二乘准则之间的关系,给出适用场合;通过模拟计算分析,得出有益结论。
The applicability of total least squares studied systematically with data fitting. The relationship formula between total least squares residual distance and least squares residual distance was obtained and extended to the multi-dimensional cases. According to the relationship among the criterion of least squares ( LS), data least squares (DLS)and total least squares (TLS), the applicability was determined.