讨论Gauss-Seidel迭代法收敛性的条件，给出一种判定矩阵谱半径小于1的方法，并将其应用于Gauss—Seidel迭代法收敛性，及对任意松弛因子0〈ω〈2时SOR法收敛性的证明．%In this paper, the Gauss-Seidel iteration convergence conditions are discussed, and a more streamlined test for spectral radius of a matrix being less than 1 is provicted. Using the result, we prove further the convergence of the Gauss-Seidel iteration and the convergence of the SOR method for arbitrary flabby factor 0〈ω〈2.
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