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Original Articles

The optimal solution of the extrapolation problem of a first order scheme

Pages 153-168 | Received 01 Oct 1982, Published online: 20 Mar 2007

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Read on this site (4)

Daoud S. Daoud. (1999) On the stationary and non stationary extrapolation iterative method. International Journal of Computer Mathematics 71:2, pages 247-257.
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Yongzhong Song & Oumarou Goro. (1998) Methodes iteratives de type sor pour resoudre les problemes des moindres carres . International Journal of Computer Mathematics 68:1-2, pages 99-118.
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Hu Jia-Gan & Liu Xing-Ping. (1992) Two-parameter parallel jacobi-type method and its convergence. International Journal of Computer Mathematics 44:1-4, pages 29-40.
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A. Psimarni & A. K. Yeyios. (1989) Optimum extrapolated method in a special case with application to sor method. International Journal of Computer Mathematics 31:1-2, pages 95-104.
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Articles from other publishers (23)

Xueyuan Tan & Yongzhong Song. (2010) Optimal Parameters for 2-cyclic AOR. Applied Mathematics and Computation 216:5, pages 1428-1442.
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A. Hadjidimos & M. Tzoumas. (2009) On the optimal complex extrapolation of the complex Cayley transform. Linear Algebra and its Applications 430:2-3, pages 619-632.
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A. Hadjidimos & M. Tzoumas. (2008) The principle of extrapolation and the Cayley Transform. Linear Algebra and its Applications 429:10, pages 2465-2480.
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Ali Hajjafar. (2006) Controlled over-relaxation method and the general extrapolation method. Applied Mathematics and Computation 174:1, pages 188-198.
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A. Hadjidimos, E. N. Houstis, J. R. Rice & E. Vavalis. (2000) Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations. SIAM Journal on Matrix Analysis and Applications 21:2, pages 508-521.
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Mei-Qin Chen & Chichia Chiu. (1994) Region-Dependent optimal m-stage Runge-Kutta schemes for solving a class of nonsymmetric linear systems. Linear Algebra and its Applications 212-213, pages 523-546.
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A. Hadjidimos, E. N. Houstis, J. R. Rice & E. A. Vavalis. (1993) Iterative Line Cubic Spline Collocation Methods for Elliptic Partial Differential Equations in Several Dimensions. SIAM Journal on Scientific Computing 14:3, pages 715-734.
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S. Galanis & A. Hadjidimos. (1991) On some convergence results of the k-step iterative methods. Applied Numerical Mathematics 7:4, pages 297-308.
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P.G. Fisher & A.J. Hughes Hallett. (1988) Iterative techniques for solving simultaneous equation systems: a view from the economics literature. Journal of Computational and Applied Mathematics 24:1-2, pages 241-255.
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Yiannis G. Saridakis. (1988) An algorithmic approach for the analysis of extrapolated iterative schemes applied to least-squares problems. Journal of Computational and Applied Mathematics 24:1-2, pages 209-225.
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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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Apostolos Hadjidimos, Theodore S. Papatheodorou & Yiannis G. Saridikis. (1988) Optimal block iterative schemes for certain large, sparse, and nonsymmetric linear systems. Linear Algebra and its Applications 110, pages 285-318.
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G. Avdelas, J. de Pillis, A. Hadjidimos & M. Neumann. (1988) A Guide to the Acceleration of Iterative Methods Whose Iteration Matrix is Nonnegative and Convergent. SIAM Journal on Matrix Analysis and Applications 9:3, pages 329-342.
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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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G. Avdelas & A. Leontitsis. (1986) A method for the improvement of the convergence rates of stationary iterative schemes for the solution of complex linear systems. Journal of Computational and Applied Mathematics 15:1, pages 1-11.
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S. Galanis, A. Hadjidimos & D. Noutsos. (1986) On different classes of monoparametric stationary iterative methods for the solution of linear systems. Mathematics and Computers in Simulation 28:2, pages 115-128.
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A. J. Hughes-Hallett. (1986) The convergence of accelerated overrelaxation iterations. Mathematics of Computation 47:175, pages 219-223.
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A. Guimier. (1986) Modelisation d'algorithmes d'optimisation a strategie aleatoire. Calcolo 23:1, pages 21-43.
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A. Hadjidimos. (1985) On the Optimization of the Classical Iterative Schemes for the Solution of Complex Singular Linear Systems. SIAM Journal on Algebraic Discrete Methods 6:4, pages 555-566.
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A.J.Hughes Hallet. (1985) Techniques which accelerate the convergence of first order iterations automatically. Linear Algebra and its Applications 68, pages 115-130.
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A. Hadjidimos. (1984) The optimal solution to the problem of complex extrapolation of a first-order scheme. Linear Algebra and its Applications 62, pages 241-261.
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N. M. Missirlis. (1984) The extrapolated first order method for solving systems with complex eigenvalues. BIT 24:3, pages 357-365.
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A.J. Hughes Hallett. (1984) Second-order iterations with guaranteed convergence. Journal of Computational and Applied Mathematics 10:3, pages 285-291.
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