Geodesic
A full-Newton approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation
Electronic transactions on numerical analysis, Tome 35 (2009), pp. 57-68
We consider a class of non-linear least squares problems that are widely used in fitting experimental data. A defining characteristic of the models we will consider is that the solution parameters may be separated into two classes, those that enter the problem linearly and those that enter non-linearly. Problems of this type are known as separable non-linear least squares (SNLLS) problems and are often solved using a Gauss-Newton algorithm that was developed in Golub and Pereyra [SIAM J. Numer. Anal., 10 (1973), pp. 413-432] and has been very widely applied.
Classification : 65F20, 65D10, 41A20
Keywords: separable nonlinear least squares, rational approximation 
@article{ETNA_2009__35__a12,
     author = {Borges,  Carlos F.},
     title = {A {full-Newton} approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation},
     journal = {Electronic transactions on numerical analysis},
     pages = {57--68},
     year = {2009},
     volume = {35},
     zbl = {1171.65381},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__35__a12/}
}
TY  - JOUR
AU  - Borges,  Carlos F.
TI  - A full-Newton approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation
JO  - Electronic transactions on numerical analysis
PY  - 2009
SP  - 57
EP  - 68
VL  - 35
UR  - http://geodesic.mathdoc.fr/item/ETNA_2009__35__a12/
LA  - en
ID  - ETNA_2009__35__a12
ER  - 
%0 Journal Article
%A Borges,  Carlos F.
%T A full-Newton approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation
%J Electronic transactions on numerical analysis
%D 2009
%P 57-68
%V 35
%U http://geodesic.mathdoc.fr/item/ETNA_2009__35__a12/
%G en
%F ETNA_2009__35__a12
Borges,  Carlos F. A full-Newton approach to separable nonlinear least squares problems and its application to discrete least squares rational approximation. Electronic transactions on numerical analysis, Tome 35 (2009), pp. 57-68. http://geodesic.mathdoc.fr/item/ETNA_2009__35__a12/