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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1735–1743
(Mi zvmmf393)
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This article is cited in 3 scientific papers (total in 3 papers)
An iterative regularization method for the 2-constrained pseudoinversion of an operator equation
V. E. Uvarov, R. A. Shafiev Department of Mathematical Analysis, Nizhni Novgorod State Pedagogical University, ul. Ul'yanova 1, Nizhni Novgorod, 603950, Russia
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.
Key words:
operator equations in Hilbert spaces, iterative regularization method, 2-constrained pseudo-inversion problem, numerical solution of optimal control problem.
Received: 23.03.2005
Citation:
V. E. Uvarov, R. A. Shafiev, “An iterative regularization method for the 2-constrained pseudoinversion of an operator equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1735–1743; Comput. Math. Math. Phys., 46:10 (2006), 1651–1659
Linking options:
https://www.mathnet.ru/eng/zvmmf393 https://www.mathnet.ru/eng/zvmmf/v46/i10/p1735
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Abstract page: | 255 | Full-text PDF : | 114 | References: | 44 | First page: | 1 |
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