05989732

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05989732 Oh, Seyong Yun, Jae Heon Convergence of multi-relaxed nonstationary multisplitting methods. J. Appl. Math. Inform. 29, No. 3-4, 753-762 (2011). 2011 The Korean Society for Computational and Applied Mathematics, Asan, ChungNam EN nonstationary multisplitting method ILU factorization large sparse $H$-matrix Zbl 1169.65025 The nonstationary multisplitting method with multi-relaxed parameters, which was introduced by {\it G.-H. Cheng} et al. [J. Comput. Appl. Math. 229, No. 1, 61--69 (2009; Zbl 1169.65025)] to solve a linear system of the form $$ A x =b, \qquad x, b \in \mathbb{R}^n, $$ where $A \in \mathbb{R}^{n\times n}$ is a large sparse $H$-matrix, is considered. Convergence results for the multi-relaxed nonstationary multisplitting method, which has not been proved completely by Cheng et al. [loc. cit.], and new convergence results for the multi-relaxed nonstationary two-stage multisplitting method are the main results of the present paper. Michael M. Pahirya (Mukachevo)