 1326 Agah D. Garnadi
 A LEPSKIJTYPE STOPPINGRULE FOR SIMPLIFIED ITERATIVELY REGULARIZED GAUSSNEWTON METHOD
(250K, pdf)
Mar 27, 13

Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers

Abstract. Iterative regularization methods for nonlinear illposed equations of the form $ F(a)= y$, where $ F: D(F) \subset X o Y$ is an operator between Hilbert spaces $ X $ and $ Y$, usually involve calculation of the Fr\'{e}chet derivatives of $ F$ at each iterate and at the unknown solution $ a^\sharp$. A modified form of the generalized GaussNewton method which requires the Fr\'{e}chet derivative of $F$ only at an initial approximation $ a_0$ of the solution $ a^\sharp$ as studied by Mahale and Nair. This work studied an {\it a posteriori} stopping rule of Lepskijtype of the method. A numerical experiment
from inverse source potential problem is demonstrated.
 Files:
1326.src(
1326.comments ,
1326.keywords ,
LepskijOnSIRGN4SEAMSGMU_fullpaper.pdf.mm )