Geodesic
Solution of a $2$-constrained pseudo-inversion problem by a relaxation method
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 217-225 Cet article a éte moissonné depuis la source Math-Net.Ru

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A regularizing algorithm based on the solution of the Cauchy problem for a second-order linear differential equation in a Hilbert space is proposed for solving a $2$-constrained pseudo-inversion problem. Conditions are found for the stabilization of a solution of the Cauchy problem to a normal solution of this problem in the case of perturbed input data.
Keywords: $2$-constrained pseudo-solution to an operator equation in a Hilbert space, normal $2$-constrained pseudo-solution, relaxation method, $2$-constrained pseudo-inversion problem. 
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N. L. Manokhina; R. A. Shafiev. Solution of a $2$-constrained pseudo-inversion problem by a relaxation method. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 217-225. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a20/

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