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摘要
Recently, Liu et al. [Q. B. Liu, G. L. Chen, J. Huang, On the parallel GSAOR method for block diagonally dominant matrices, Appl. Math. Comput. 215 (2009), 707-715] study the convergence of the parallel multisplitting generalized SAOR iterative methods based on the generalized AOR iterative method for solving a linear system whose coefficient matrix is a block diagonally dominant matrix or a generalized block diagonal dominant matrix. In this paper, we extend the domain of convergence from 1 <= omega(i) < 2/(1 + mu(1) (PMQ)) and 1 <= omega(i) < 2 /(1 + mu(2) (PMQ)) to 0 < omega(i) < 2 /(1 + mu(1) (PMQ)) and 0 < omega(i) < 2 /(1 + mu(2) (PMQ)) for the parallel multisplitting generalized SAOR iterative methods.
