病态总体最小二乘靶向奇异值修正法

一般病态问题是法矩阵出现几个特征奇异值，计算过程中可用靶向矩阵修正奇异值。总体最小二乘迭代过程中，系数矩阵不断微变，靶向矩阵也应随之改变。针对靶向矩阵变化问题，推导2种病态总体最小二乘靶向奇异值修正法，先求出新系数矩阵，再求靶向矩阵，最后迭代计算出参数估值。实验验证了该方法的优势。

New Methods of Ill-Posed Total Least-Squares with Targeting Singular Value Corrections

The general ill-posed problem is that there are several singular eigenvalues in the coefficient matrix, and the singular value can be corrected with the target matrix in the calculation process. In the total least squares iteration process, the coefficient matrix is constantly changing, so the target matrix should also change accordingly. For target matrix changing, this paper deduces two new methods of ill-posed total least-squares targeting singular value corrections. By finding the new coefficient matrix and then finding the target matrix, the iteration is calculated with the parameter estimate and used in the example. The results show that these methods have some advantages.