An iteration method for solving the linear system |
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Authors: | Zhaolu Tian Maoyi Tian Yan Zhang Pihua Wen |
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Affiliation: | 1. College of Data Science, Taiyuan University of Technology, Taiyuan 030024, PR China;2. Geomatics College, Shandong University of Science and Technology, Qingdao 266590, PR China;3. School of Engineering and Materials Science, Queen Mary University of London, London, E14NS, UK |
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Abstract: | In this paper, based on a convergence splitting of the matrix , we present an inner–outer iteration method for solving the linear system . We analyze the overall convergence of this method without any other restriction on its parameters. Moreover, we give the accelerated inner–outer iteration method, and discuss how to apply the inner–outer iterations as a preconditioner for the Krylov subspace methods. The inner–outer iteration method can also be used for the solution of . Finally, several numerical examples are given to validate the performance of our proposed algorithms. |
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Keywords: | Inner-outer iterations Convergence Accelerate Preconditioned |
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