2007•Journal of Jiangxi Normal UniversityRequires access

Convergence of Semi-Iterative Method for a Class of Antisymmetric Iterative Matrix

Da‐Wei Chang

Abstract

Semi-iterative Method is a normal and effective method of solving the linear algebra equation.It can often achieve a large improvement of the convergence.Convergence of semi-iterative method was discussed by Varga,Young and HU Jia-gan when iterative matrix is symmetric.In this paper,using Chebyshev polynomial and its properties,we obtain the convergence of semi-iterative method for a class of antisymmetric iterative matrix.Thus we extend the usual convergence condition to a new situation.

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Key concepts: Antisymmetric relation, Iterative method, Convergence (economics), Mathematics, Matrix (chemical analysis), Local convergence, Applied mathematics, Class (philosophy)