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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 4, Pages 76–83 (Mi ivm9230)  
About a regularized method for solving a constrained pseudoinverse problem

R. A. Shafieva, E. A. Bondar'b, I. Yu. Yastrebovac

a Nizhni Novgorod State Pedagogical University, 1 Ul'yanov str., Nizhni Novgorod, 603950 Russia
b Nizhni Novgorod State Architectural and Civil Engineering University, 65 Il'inskaya str., Nizhni Novgorod, 603950 Russia
c Nizhni Novgorod State University, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
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Abstract: For a constrained pseudoinverse problem with operators satisfying complementarity condition we suggest a one-parametric continuous method of regularization of second order. This method is based on stabilization of solutions to Cauchy problems for linear differential equation of second order in Hilbert space constructed on the base of the method of a heavy globule. We establish conditions on the parametric function of regularization and levels of disturbances ensuring the stability of the method in the class of all constrained disturbances.
Keywords: constrained pseudoinverse problem, continuous method of regularization of second order, complementarity condition of operators.
Received: 09.11.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 4, Pages 65–71
DOI: https://doi.org/10.3103/S1066369X17040090
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: R. A. Shafiev, E. A. Bondar', I. Yu. Yastrebova, “About a regularized method for solving a constrained pseudoinverse problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 4, 76–83; Russian Math. (Iz. VUZ), 61:4 (2017), 65–71
Citation in format AMSBIB
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\pages 76--83
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