COMPARISON OF THE WEIGHTED SQUARED RESIDUALS OF THE TLS AND THE LS PROBLEMS
TLS问题和LS问题解加权残量的比较

There are a number of papers discussing the comparison of the squared residuals of the Total Least Squares(TLS) and the Least Squares(LS) problems. In this paper, the weighted squared residuals of the TLS and the LS problems are compared. Bounds of difference between the weighted squared residuals of the TLS, modified LS, and ordinary LS solutions are derived. Thus the existing related results are expanded.