连续正则化牛顿方法的收敛率  

Convergence Rates of the Continuous Regularized Newton Method

作　　者：杨素华[1] 罗兴钧[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《南昌大学学报（理科版）》2007年第5期428-431,436,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省自然科学基金资助项目(0611005);江西省教育厅科技基金资助项目(2007293)

摘　　要：对半正定线性算子方程考虑了一类连续正则化牛顿方法,给出了收敛证明,得到了收敛率。考虑了右端数据有误差的情形,并给出了先验的与后验的停止准则,在一定条件下收敛率是最优的。A convergence proof is given for the continuous analog of the newton method for linear semi - positive definite operator equations and convergence rates are obtained. Linear ill -posed problems with noisy data are considered and a prior and a posteriori stopping rules are proposed. The convergence rates are optimal rates under the source conditions considered.

关 键 词：线性不适定问题 动力系统 半正定算子方程 收敛率 

分 类 号：O241.2[理学—计算数学]