New Methods of Ill-Posed Total Least-Squares with Targeting Singular Value Corrections
Abstract 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.
Key words :
ill-posed
total least squares
coefficient matrix
targeting correction
Cite this article:
WU Guangming,LU Tieding. New Methods of Ill-Posed Total Least-Squares with Targeting Singular Value Corrections[J]. jgg, 2019, 39(8): 856-862.
WU Guangming,LU Tieding. New Methods of Ill-Posed Total Least-Squares with Targeting Singular Value Corrections[J]. jgg, 2019, 39(8): 856-862.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2019/V39/I8/856
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