Geodesic
An implicit iteration method for solving linear ill-posed operator equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 2, pp. 115-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this work, we study a new implicit method to compute the solutions of ill-posed linear operator equations of the first kind under the setting of compact operators. The regularization theory can be used to demonstrate the stability and convergence of this scheme. Furthermore, we obtain convergence results and effective stopping criteria according to Morozov's discrepancy principle. Numerical performances are calculated to show the validity of our implicit method and demonstrate its applicability to deblurring problems. 
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T. Bechouat. An implicit iteration method for solving linear ill-posed operator equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 26 (2023) no. 2, pp. 115-134. http://geodesic.mathdoc.fr/item/SJVM_2023_26_2_a0/

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