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

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

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 regulariza...

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Veröffentlicht in:Computational mathematics and mathematical physics 2006-10, Vol.46 (10), p.1651-1659
Hauptverfasser: Uvarov, V E, Shafiev, R A
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Convergence
Iterative methods
Mathematical analysis
Mathematical models
Operators
Optimization
Regularization
Regularization methods
Studies
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Zusammenfassung: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.[PUBLICATION ABSTRACT]
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542506100034