亏秩最小二乘问题的最优AOR方法(英文)  

Optimal AOR for Rank Deficient Least Squares Problem

作　　者：谈雪媛[1] 

机构地区：[1]南京师范大学数学科学学院,江苏南京210046

出　　处：《南京师大学报（自然科学版）》2011年第4期1-8,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(10971102);the Natural Science Foundation of Jiangsu Province of China(BK2009398);the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China(200720);Jiangsu Innovation Fund for Doctor of Science(CX07B-027z)

摘　　要：主要研究了求解亏秩线性最小二乘问题的AOR方法的最优参数、渐近半收敛因子及其明晰的表达形式.并给出了两个数值例子阐明结论.This paper studied the optimal parameters and asymptotical semiconvergence factor of AOR methods for rank deficient linear least squares problem and presented the explicit expressions of these factors. Finally, two numerical examples are given to illustrate our results.

关 键 词：AOR方法 最优参数 2-循环 渐近半收敛因子 亏秩线性最小二乘问题 

分 类 号：O241.6[理学—计算数学]