Title :
Degeneracy in nonlinear least squares: coincidence of more than two parameters
Author :
Van Den Bos, A. ; van der Werff, T.T.
Author_Institution :
Dept. of Appl. Phys., Delft Univ. of Technol., Netherlands
fDate :
9/1/1990 12:00:00 AM
Abstract :
In the authors´ previous paper (see ibid., vol.128, no.3, p.109-16 (1981)), it was shown that the least-squares solutions for the nonlinear parameters of weighted sum models, as multiexponentials, may pairwise exactly coincide. This was explained as a consequence of degeneracy of the least-squares criterion under the influence of errors. This theory is now extended to include the coincidence of more than two nonlinear parameters.
Keywords :
catastrophe theory; least squares approximations; catastrophe theory; coincidence; degeneracy; nonlinear least squares; nonlinear parameters; weighted sum models;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
