This article is cited in 1 scientific paper (total in 1 paper)
International Conference on Environmental Mathematical Modeling and Numerical Analysis (Rostov-on-Don)
Using the skew-symmetric part of the coefficient matrix to find an iterative solution of the strongly nonsymmetric positive real linear system of equations
L. A. Krukier
Rostov State University
New triangular iterative methods of solving nonsymmetric linear systems of equations
with positive real coefficient matrices are proposed. The triangular operator of these
iterative methods use the skew-symmetric part of the initial matrix. The convergence
analysis and technique for choosing the optimal parameter for the new methods
are presented. Several numerical experiments include the solutions of the strongly
nonsymmetric linear systems arising from a central finite-difference approximation of
the steady convection-diffusion equation with the Peclet numbers $Pe=10^3,10^4$ and $10^5$ .
The relative performance of these methods were tested and compared to the popular SOR procedure.
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L. A. Krukier, “Using the skew-symmetric part of the coefficient matrix to find an iterative solution of the strongly nonsymmetric positive real linear system of equations”, Matem. Mod., 13:3 (2001), 49–56
Citation in format AMSBIB
\paper Using the skew-symmetric part of the coefficient matrix to find an iterative solution of the strongly nonsymmetric positive real linear system of equations
\jour Matem. Mod.
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This publication is cited in the following articles:
L. A. Krukier, O. A. Pichugina, T. S. Martynova, “Improving the efficiency of variational methods for solving strongly nonsymmetric linear algebraic equation system received in convection-diffusion problems”, Math. Models Comput. Simul., 3:3 (2011), 346–356
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