Abstract
We propose a new approach to the investigation of linear equations with restrictions. For the problem considered, we establish consistency conditions and justify the application of an iterative method.
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REFERENCES
A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko, Generalized Inverse Operators and Noetherian Boundary-Value Problems [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1995).
A. Yu. Luchka, “Methods for the solution of equations with restrictions and the Sokolov projection-iterative method,” Ukr. Mat. Zh., 48, No. 11, 1501–1509 (1996).
A. Yu. Luchka, “Integral equations with restrictions and methods for their solution,” Kibernet. Sist. Analiz, No. 3, 82–96 (1996).
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Luchka, A.Y., Kucheruk, T.A. Iterative Method for the Solution of Linear Equations with Restrictions. Ukrainian Mathematical Journal 54, 577–591 (2002). https://doi.org/10.1023/A:1021031227000
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DOI: https://doi.org/10.1023/A:1021031227000