@book{3037694,
    title = "The local modified extrapolated Gauss-Seidel (LMEGS) method",
    author = "Consta, A.A. and Missirlis, N.M. and Tzaferis, F.I.",
    publisher = "W B SAUNDERS CO-ELSEVIER INC",
    year = "2003",
    isbn = "9780080529479; 9780080440460",
    doi = "10.1016/B978-008044046-0.50468-1",
    keywords = "Eigenvalues and eigenfunctions;  Extrapolation;  Fourier analysis;  Gaussian distribution;  Linear systems, Absolute values;  Convergence analysis;  Convergence ranges;  Diffusion equations;  Gauss-Seidel;  Iteration matrices;  Jacobi methods;  Local methods, Iterative methods",
    abstract = "In this paper we present the convergence analysis of the local modified extrapolated Gauss-Seidel (LMEGS) method. The related theory of convergence is developed. Convergence ranges and optimum values for the involved parameters of the LMEGS method are obtained. It is proved that even if /x, the smallest in absolute value eigenvalue of the iteration matrix of the Jacobi method, becomes larger than unity LMEGS will converge. In fact, the larger /cx the faster the convergence of LMEGS. © 2003 Elsevier Science Ltd. All rights reserved."
}