On total Least-Squares adjustment with constraints

International Association of Geodesy Symposia

Volumn 128, Issue , 2005, Pages 417-421

  Schaffrin, Burkhard ^a   Felus, Yaron A ^b  

^a The Ohio State University   (United States)

^b FERRIS STATE UNIVERSITY   (United States)

Author keywords

Errors in variables; Fixed constraints; Total Least Squares

Indexed keywords

GEODESY;

COEFFICIENT MATRIX; ERRORS IN VARIABLES; ESTIMATED PARAMETER; FIXED CONSTRAINTS; NORMAL EQUATIONS; SLOW CONVERGENCES; TOTAL LEAST SQUARES; TOTAL LEAST-SQUARES ADJUSTMENT;

PARAMETER ESTIMATION;

EID: 84964078475     PISSN: 09399585     EISSN: 21979359     Source Type: Conference Proceeding    
DOI: 10.1007/3-540-27432-4_71     Document Type: Conference Paper

References (7)

1. Felus, Y. and B. Schaffrin (2003). Fitting variogram models using the 2-stage Total Least-Squares estimator, Computers & Geosciences (submitted in April 2003).
2. Golub, H.G. and C. van Loan (1980). An analysis of the Total Least-Squares problem, SIAM Journal on Numerical Analysis, 17(6): 883-893.
3. Koch, K. R. (1999). Parameter Estimation and Hypothesis Testing in Linear Models, 2nd edtion. Springer-Verlag, New York, 333 pp.
4. Markovsky, I., M.-L Rastello, A. Premoli, A. Kukush and S. van Huffel (2002). The element-wise weighted Total Least-Squares problem. Report No. 02-48, Dept. Of Electrical Eng., Katholic University Leuven, Belgium.
5. Schaffrin, B. (2003): A note on Constrained Total Squares Estimation, Comput. Statistics and Data Analysis (submitted in Oct 2003).
6. Strang, G. (1988). Linear Algebra and its Applications, 3rd edition, Harcourt Brace Jovanovich, San Diego, 505 pp.
7. van Huffel, S. and J. Vandewalle (1991). The Total Least-Squares Problem. Computational Aspects and Analysis, Society for Industrial and Applied Mathematics, Philadelphia, 300 pp.