Geodesic
Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1103-1112

Voir la notice de l'article provenant de la source Math-Net.Ru

We examine the convergence rate of approximations generated by Tikhonov's scheme as applied to ill-posed constrained optimization problems with general smooth functionals on a convex closed subset of a Hilbert space. Assuming that the solution satisfies a source condition involving the second derivative of the cost functional and depending on the form of constraints, we establish the convergence rate of the Tikhonov approximations in the cases of exact and approximately specified functionals. 
@article{ZVMMF_2017_57_7_a2,
     author = {M. Yu. Kokurin},
     title = {Convergence rate estimates for {Tikhonov's} scheme as applied to ill-posed nonconvex optimization problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1103--1112},
     publisher = {mathdoc},
     volume = {57},
     number = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a2/}
}
TY  - JOUR
AU  - M. Yu. Kokurin
TI  - Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 1103
EP  - 1112
VL  - 57
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a2/
LA  - ru
ID  - ZVMMF_2017_57_7_a2
ER  - 
%0 Journal Article
%A M. Yu. Kokurin
%T Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 1103-1112
%V 57
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a2/
%G ru
%F ZVMMF_2017_57_7_a2
M. Yu. Kokurin. Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1103-1112. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a2/