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- W2580452755 abstract "The study of local modified extrapolated Gauss–Seidel (LMEGS) revealed that the method will converge even if μ > 1 in which case the well known Gauss–Seidel method does not converge. This chapter presents the convergence analysis of the LMEGS method. The Fourier analysis is used to establish a relationship between the eigenvalues of the local MEGS iteration matrix and the iteration matrix of the local Jacobi method. The related theory of convergence is developed. Convergence ranges and optimum values for the involved parameters of the LMEGS method are obtained. The quantity μ plays an important role in the convergence of LMEGS. When μ = 0, then LMEGS degenerates into the EGS method whose rate of convergence is, in general, better than GS. However, the real power of the method becomes apparent for large values of μ." @default.
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- W2580452755 date "2003-01-01" @default.
- W2580452755 modified "2023-09-26" @default.
- W2580452755 title "The local modified extrapolated Gauss-Seidel (LMEGS) method" @default.
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- W2580452755 doi "https://doi.org/10.1016/b978-008044046-0.50468-1" @default.
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