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An iterative regularization method for the 2-constrained pseudoinversion of an operator equation

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Abstract

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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Authors and Affiliations

  1. Department of Mathematical Analysis, Nizhni Novgorod State Pedagogical University, ul. Ul’yanova 1, Nizhni Novgorod, 603950, Russia

    V. E. Uvarov & R. A. Shafiev

Authors
  1. V. E. Uvarov
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  2. R. A. Shafiev
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Original Russian Text © V.E. Uvarov, R.A. Shafiev, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 10, pp. 1735–1743.

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Uvarov, V.E., Shafiev, R.A. An iterative regularization method for the 2-constrained pseudoinversion of an operator equation. Comput. Math. and Math. Phys. 46, 1651–1659 (2006). https://doi.org/10.1134/S0965542506100034

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  • DOI: https://doi.org/10.1134/S0965542506100034

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