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

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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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     author = {V. E. Uvarov and R. A. Shafiev},
     title = {An iterative regularization method for the 2-constrained pseudoinversion of an operator equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1735--1743},
     publisher = {mathdoc},
     volume = {46},
     number = {10},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a2/}
}
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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/