Geodesic
An iterative regularization method for the 2-constrained pseudoinversion of an operator equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1735-1743 Cet article a éte moissonné depuis la source Math-Net.Ru

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An iterative regularization algorithm is proposed for solving a special optimization problem, the so-called 2-constrained operator pseudoinversion. The convergence of the algorithm is examined in the case of perturbed input data. An error estimate is derived, and an a priori choice of the regularization parameters is described. The algorithm is applied to an optimal control problem with minimal costs. 
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V. E. Uvarov; R. A. Shafiev. An iterative regularization method for the 2-constrained pseudoinversion of an operator equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1735-1743. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a2/

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