Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function
by
Dragan Jukic
Department of Mathematics, University of Osijek
Coauthors: Rudolf Scitovski (Department of Mathematics, University of Osijek)

I would like to present joint work:

D. Juki\'c, R. Scitovski and H. Späth, Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function, Computing 62(1999), 163-178.

Abstract. In this paper we consider a special nonlinear total least squares problem, where the model function is of the form f(x;a, b)=\phi^-1(ax+b). Using the fact that after an appropriate substitution, the model function becomes linear in parameters, and that the symetry preserves the distances, this nonlinear total least squares problem can be greatly simplified. In this paper we give the existence theorem, propose an efficient algorithm for searching the parameters and give some numerical examples.

Date received: March 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-62.