A Test for Spectral Radius of Matrixes
Yuqing Li · Studies in College Mathematics · 2012
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 provided.Using the result,we prove further the convergence of the Gauss-Seidel iteration and the convergence of the SOR method for arbitrary flabby factor 0ω2.