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- W1997341639 abstract "We consider the general iteratively regularized Gauss-Newton methods xk+1 = x0 − gαk (F (xk)F (xk))F (xk) ( F (xk)− y − F (xk)(xk − x0) ) for solving nonlinear inverse problems F (x) = y using the only available noise yδ of y satisfying ‖yδ − y‖ ≤ δ with a given small noise level δ > 0. In order to produce reasonable approximation to the sought solution, we terminate the iteration by the discrepancy principle. Under much weaker conditions we derive some further convergence results which improve the existing ones and thus expand the applied range." @default.
- W1997341639 created "2016-06-24" @default.
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- W1997341639 date "2012-12-31" @default.
- W1997341639 modified "2023-09-27" @default.
- W1997341639 title "Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle" @default.
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- W1997341639 doi "https://doi.org/10.1090/s0025-5718-2012-02665-2" @default.
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