修正的JOR迭代法  

Modified JOR Iterative Method

作　　者：孟国艳[1] 田云[1] 赵青杉[1] 周艳斌[1] 

机构地区：[1]忻州师范学院,山西忻州034000

出　　处：《忻州师范学院学报》2013年第5期14-16,共3页Journal of Xinzhou Teachers University

摘　　要：对于求解线性方程组Ax=b的一般化Jacobi(JOR)迭代法,文章提出自适应策略确定JOR方法中的参数。新的修正算法仅需系数矩阵A对称正定,改善了JOR迭代法的收敛条件。最后数值实例表明新算法的有效性。A generalization of Jacobi iteration method is among the stationary iterative methods for solving linear system of equations.In this paper the modified scheme are proposed to compute the parameter of JOR.The new method improves convergence properties only if the coefficient matrix is symmetrical positive definite.Some numerical experiments are given to show the efficiency of the new methods.

关 键 词：JACOBI迭代法 JOR 自适应 收敛 对称正定矩阵 

分 类 号：O241.6[理学—计算数学]