Total Least Squares Adjustment with Weight Scaling Factor

The weighted total least squares adjustment with weight scaling factor is deduced.The prior unit weight variance method and minimum objective function method are proposed to determine weight scaling factor.Though the simulated example,some conclusions are obtained.When the prior unit weight variances of observation and coefficient matrix are known and accurate,the difference norm between the true value and estimation from the prior unit weight variance method is smallest of all;the estimation of the objective function by minimum objective function method is smallest,while the difference between true value and parameter estimation is larger than the result using the prior unit weight variance method.