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- W4238434050 abstract "Iterative regularization methods for nonlinear ill-posed equations of the form $ F(a)= y$, where $ F: D(F) subset X to 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 Gauss-Newton 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 cite{MaNa:2k9}. This work studied an {it a posteriori} stopping rule of Lepskij-type of the method. A numerical experiment from inverse source potential problem is demonstrated." @default.
- W4238434050 created "2022-05-12" @default.
- W4238434050 creator A5073355141 @default.
- W4238434050 date "2017-12-25" @default.
- W4238434050 modified "2023-10-16" @default.
- W4238434050 title "A LEPSKIJ-TYPE STOPPING-RULE FOR SIMPLIFIED ITERATIVELY REGULARIZED GAUSS-NEWTON METHOD" @default.
- W4238434050 doi "https://doi.org/10.31227/osf.io/n87wm" @default.
- W4238434050 hasPublicationYear "2017" @default.
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