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Parallel methods for regularizing systems of equations involving accretive operators |
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| Authors: | Pham Ky Anh Nguyen Buong Dang Van Hieu |
| Institution: | 1. Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi 10000, Vietnam.anhpk@vnu.edu.vn;3. Vietnamese Academy of Science &4. Technology, Institute of Information Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi 10000, Vietnam.;5. Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi 10000, Vietnam. |
| Abstract: | In this paper, two parallel methods for solving systems of accretive operator equations in Banach spaces are studied. The convergence analysis of the methods in both free-noise and noisy data cases is provided. |
| Keywords: | uniformly smooth and uniformly convex Banach spaces accretive and inverse uniformly accretive operators iterative regularization method Newton-type method parallel computation |