对角优势矩阵及其迭代性质  

Diagonally Dominant Matrix and Its Iteration

作　　者：荆天[1] 史玉英[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《安康学院学报》2008年第6期82-84,共3页Journal of Ankang University

摘　　要：本文主要讨论了对角优势矩阵的性质及其应用,并将二者作了简单的糅合。由于对角优势矩阵的非奇异性,正稳定性,且由其组成的系数方程用Jacob i和Gauss-Se idel迭代法均收敛的良性,使得对角优势矩阵在方程及矩阵中有其重要地位.In this paper, I mainly have the nature of diagonally dominant matrix and some other uses mixed, as a result of diagonally dominant matrix is nonsingular, positively stable and the benignity of the coefficient equation which is composed by it in Jacobi and the Gauss - Seidel iteration process, so the diagonally dominant matrix has its important status in the equation and the matrix.

关 键 词：对角优势矩阵 非奇异矩阵 正稳定矩阵 JACOBI迭代法 Gauss—Seidel迭代法 

分 类 号：O151[理学—数学]