一类矩阵下TOR迭代法的误差界  

An Error Bound of the TOR Method for a Class of Matrices

作　　者：刘福体[1] 黄廷祝[1] 

机构地区：[1]电子科技大学应用数学学院,四川成都610054

出　　处：《工程数学学报》2004年第6期877-884,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金资助(60372012).

摘　　要：本文在方程组 Ax = b 的系数矩阵 A 具有相容秩序及对称正定的条件下,利用 δk = xk ? xk?1和 δk = xk ? xk 的范数及内积得到了 TOR 迭代法的误差向量 εk = x ? xk 的范数的 +1 +1 一个上界。Suppose Ax = b is a system of linear equations where the matrix A is symmetric positive de?nite and consistently ordered. A bound for the norm of the errors εk = x ? xk of the TOR method in terms of the norms of δk = xk ? xk and δk = xk ? xk and their inner product is derived, i.e. ?1 +1 +1

关 键 词：线性系统 TOR方法 误差 

分 类 号：O241.6[理学—计算数学]