Dynamical systems method for solving linear ill-posed problems
Annales Polonici Mathematici, Tome 95 (2009) no. 3, pp. 253-272

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning the discrepancy principle for choosing the regularization parameter are obtained.
DOI : 10.4064/ap95-3-5
Keywords: various versions dynamical systems method dsm proposed solving linear ill posed problems bounded unbounded operators convergence proposed methods proved results concerning discrepancy principle choosing regularization parameter obtained

A. G. Ramm 1

1 Mathematics Department Kansas State University Manhattan, KS 66506-2602, U.S.A.
@article{10_4064_ap95_3_5,
     author = {A. G. Ramm},
     title = {Dynamical systems method for solving
 linear ill-posed problems},
     journal = {Annales Polonici Mathematici},
     pages = {253--272},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {2009},
     doi = {10.4064/ap95-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap95-3-5/}
}
TY  - JOUR
AU  - A. G. Ramm
TI  - Dynamical systems method for solving
 linear ill-posed problems
JO  - Annales Polonici Mathematici
PY  - 2009
SP  - 253
EP  - 272
VL  - 95
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap95-3-5/
DO  - 10.4064/ap95-3-5
LA  - en
ID  - 10_4064_ap95_3_5
ER  - 
%0 Journal Article
%A A. G. Ramm
%T Dynamical systems method for solving
 linear ill-posed problems
%J Annales Polonici Mathematici
%D 2009
%P 253-272
%V 95
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap95-3-5/
%R 10.4064/ap95-3-5
%G en
%F 10_4064_ap95_3_5
A. G. Ramm. Dynamical systems method for solving
 linear ill-posed problems. Annales Polonici Mathematici, Tome 95 (2009) no. 3, pp. 253-272. doi: 10.4064/ap95-3-5

Cité par Sources :