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International Journal of Computer Mathematics Volume 14, 1983 - Issue 3-4
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Original Articles

On the generalisation of the basic iterative methods for the solution of linear systems

A. Hadjidimos Department of Mathematics, University of loannina, loannia, Greece
Pages 355-369 | Received 01 Sep 1982, Published online: 20 Mar 2007

Citations (16)

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Read on this site (5)

Wang Xinmin & M. Madalena Martins. (1999) Further results on regular splittings and their applications to some iterative methods. International Journal of Computer Mathematics 72:2, pages 167-180.
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M. Madalena Martins & M. Estela Trigo. (1995) Convergence conditions for some generalized iterative methods. International Journal of Computer Mathematics 56:3-4, pages 199-207.
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M. M. MARTINS & D. J. EVANS. (1994) THE PARALLEL MULTISPLITTING GENERALIZED ITERATIVE METHODS. Parallel Algorithms and Applications 2:4, pages 251-262.
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Wang Xinmin & D. J. Evans. (1994) The upper bound of the spectral radius of M-1 N and convergence of some iterative methods. International Journal of Computer Mathematics 53:3-4, pages 203-217.
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D. J. Evans, M. M. Martins & M. E. Trigo. (1992) On the convergence of some generalized iterative methods with preconditioning. International Journal of Computer Mathematics 44:1-4, pages 19-28.
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Articles from other publishers (11)

Jianzhou Liu, Yebo Xiong & Yun Liu. (2020) The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method. Computational and Applied Mathematics 39:4.
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Yi Zheng, Wenbin Guo, Jianli Zhao & Nan Wang. (2010) On structure-oriented hybrid two-stage iteration methods for the large and sparse blocked system of linear equations. Journal of Computational and Applied Mathematics 234:8, pages 2367-2376.
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Zhong-Zhi Bai. (1999) A class of parallel hybrid two-stage iteration methods for block bordered linear systems. Applied Mathematics and Computation 101:2-3, pages 245-267.
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Zhong-Zhi Bai. (1998) A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations. Linear Algebra and its Applications 282:1-3, pages 1-24.
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Xinmin Wang. (1997) Convergence theory for the general GAOR type iterative method and the MSOR iterative method applied to H-matrices. Linear Algebra and its Applications 250, pages 1-19.
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Wang Xinmin. (1994) Convergence for a general form of the GAOR method and its application to the MSOR method. Linear Algebra and its Applications 196, pages 105-123.
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Wang Xinmin. (1993) Generalized extrapolation principle and convergence of some generalized iterative methods. Linear Algebra and its Applications 185, pages 235-272.
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Wang Xinmin. (1993) Generalized Stein-Rosenberg theorems for the regular splittings and convergence of some generalized iterative methods. Linear Algebra and its Applications 184, pages 207-234.
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Jiaoxun Kuang & Jun Ji. (1988) A survey of AOR and TOR methods. Journal of Computational and Applied Mathematics 24:1-2, pages 3-12.
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A. Hadjidimos. (1987) A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques. Journal of Computational and Applied Mathematics 20, pages 37-51.
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A. Hadjidimos, A. Psimarni & A. Yeyios. (1986) On the convergence of some generalized iterative methods. Linear Algebra and its Applications 75, pages 117-132.
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