A continuous regularization method for a constrained pseudoinverse problem with additional restrictions on the input operators
- Authors: Shafiev R.A.1, Bondar E.A.2, Yastrebova I.Y.3
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Affiliations:
- Nizhny Novgorod State Pedagogical University
- Nizhny Novgorod State University of Architecture, Building, and Civil Engineering
- Nizhny Novgorod State University
- Issue: Vol 37, No 6 (2016)
- Pages: 807-814
- Section: Selected Articles from the Journal Uchenye Zapiski Kazanskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki
- URL: https://journals.rcsi.science/1995-0802/article/view/198568
- DOI: https://doi.org/10.1134/S1995080216060020
- ID: 198568
Cite item
Abstract
A two-parameter continuous regularization method is considered for a constrained pseudoinverse problem with input operators satisfying a generalized complementarity condition. The method is based on the stabilization of the solutions of differential equations in a Hilbert space. Convergence conditions refining those known previously are found. The main result is that the parameter functions are independent of each other. The stability of the method is established in the class of all possible constrained perturbations. A one-parameter continuous regularization method is studied for a special case of the problem with additional input operators.
About the authors
R. A. Shafiev
Nizhny Novgorod State Pedagogical University
Author for correspondence.
Email: a_shafieva@rambler.ru
Russian Federation, ul. Ul’yanova 1, Nizhny Novgorod, 603950
E. A. Bondar
Nizhny Novgorod State University of Architecture, Building, and Civil Engineering
Email: a_shafieva@rambler.ru
Russian Federation, Il’inskaya ul. 65, Nizhny Novgorod, 603950
I. Yu. Yastrebova
Nizhny Novgorod State University
Email: a_shafieva@rambler.ru
Russian Federation, pr. Gagarina 23, Nizhny Novgorod, 603950