Jacobi和Gauss-Seidel迭代法的预处理  

Pre-processing to Jacobi & Gauss-Seidel iteration

作　　者：梁凯豪[1] 高凌云[2] 

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225 [2]暨南大学数学系,广东广州510225

出　　处：《仲恺农业工程学院学报》2011年第3期44-46,共3页Journal of Zhongkai University of Agriculture and Engineering

基　　金：广东省自然科学基金(04010474)资助项目

摘　　要：对部分Jacobi和Gauss-Seidel迭代法发散的线性方程组进行了相应的预处理,通过完全选主元的方法将线性方程组的系数矩阵对角最大化,从而达到Jacobi和Gauss-Seidel迭代收敛的目的.Some linear equations which were divergent by iteration methods of Jacobi and Gauss-Seidel were pre-processed. The main element was chosen to make the diagonal elements at the greatest value in the coefficient matrix. At last the iteration of Jacobi and Gauss-Seidel were made to be convergent.

关 键 词：JACOBI迭代法 Gauss—Seidel迭代法 预处理 

分 类 号：O241.6[理学—计算数学]