A continuous regularization method for a constrained pseudoinverse problem with additional restrictions on the input operators
- Авторлар: Shafiev R.1, Bondar E.2, Yastrebova I.3
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Мекемелер:
- Nizhny Novgorod State Pedagogical University
- Nizhny Novgorod State University of Architecture, Building, and Civil Engineering
- Nizhny Novgorod State University
- Шығарылым: Том 37, № 6 (2016)
- Беттер: 807-814
- Бөлім: 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
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
R. Shafiev
Nizhny Novgorod State Pedagogical University
Хат алмасуға жауапты Автор.
Email: a_shafieva@rambler.ru
Ресей, ul. Ul’yanova 1, Nizhny Novgorod, 603950
E. Bondar
Nizhny Novgorod State University of Architecture, Building, and Civil Engineering
Email: a_shafieva@rambler.ru
Ресей, Il’inskaya ul. 65, Nizhny Novgorod, 603950
I. Yastrebova
Nizhny Novgorod State University
Email: a_shafieva@rambler.ru
Ресей, pr. Gagarina 23, Nizhny Novgorod, 603950