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Some Results on Parallel Alternating Two-stage Methods
Abstract:In this paper, we present parallel alternating two-stage methods for solving linear system Ax=b, where A is a symmetric positive definite matrix. And we give some convergence results of these methods for nonsingular linear system.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1072249Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 881
 H. Migall├│n, V. Migall├│n, J. Penadés, "Alternating two-stage methods for consistent linear system with applications to the parallel solution of Markov chains," Advances in Engineering Software, vol.41, pp.13-21,2010.
 B.L. Zhang, T.X. Gu, Z.Y. Mo, "Principles and methods of numerical parallel computation," National defense industry Press, Beijing, 1999.
 W. Rheinboldt, J. Vandergraft, "A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered nite-dimensional linear spaces," Mathematics of Computation, 27 (121) (1973) pp. 139-145.
 J.M. Ortega, Numerical Analysis, A second course, Academic Press, New York, NY, 1972. Reprinted by SIAM, Philadelphia, PA, 1992.
 Castel MJ, Migall├│n V, Penadés J. "Convergence of non-stationary parallel multisplitting methods for Hermitian positive denite matrices," Math Comput 1998;67(221): pp. 209-20.
 Migall├│n V, Penadés J. "Convergence of two-stage iterative methods for Hermitian positive denite matrices," Appl Math Lett 1997;10(3): pp. 79-83.