Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part

Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part

Year:    2006

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 115–124

Abstract

Numerical investigation of BiCG and GMRES methods for solving non-symmetric linear equation systems with dominant skew-symmetric part has been presented. Numerical experiments were carried out for the linear system arising from a 5-point central difference approximation of the two dimensional convection-diffusion problem with different velocity coefficients and small parameter at the higher derivative. Behavior of BiCG and GMRES(10) has been compared for such kind of systems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-IJNAM-892

International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 1 : pp. 115–124

Published online:    2006-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    convection-diffusion problem central difference approximation Krylov subspace methods BiCG GMRES(10) triangular preconditioners non-symmetric systems eigenvalue distribution of matrices.