Iterative Method for the Solution of Linear Equations with Restrictions

Springer Science and Business Media LLC - Tập 54 - Trang 577-591 - 2002
A. Yu. Luchka1, T. A. Kucheruk1
1Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

Tóm tắt

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.

Tài liệu tham khảo

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).