Applicability of the method of least squares in nonlinear problems
Abstract
The effect of measurement errors on the multivalued character of the method of least squares in nonlinear measurements is analyzed. It is shown that the estimate need not always be a minimum point, and in those cases where it is not, the method of least squares is inapplicable. A necessary condition for the applicability of the method of least squares is obtained.
- Publication:
-
Software for Space Experiments
- Pub Date:
- 1978
- Bibcode:
- 1978swse.book...63M
- Keywords:
-
- Error Analysis;
- Least Squares Method;
- Spacecraft Trajectories;
- Trajectory Analysis;
- Matrices (Mathematics);
- Nonlinear Systems;
- Statistical Analysis;
- Vector Analysis;
- Astrodynamics