Projected nonstationary iterated Tikhonov regularization

被引：17

作者：

Huang, Guangxin ^{[1
]}

Reichel, Lothar ^{[2
]}

Yin, Feng ^{[3
]}

机构：

[1] Chengdu Univ Technol, Coll Management Sci, Geomath Key Lab Sichuan, Chengdu 610059, Peoples R China

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[3] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R China

来源：

BIT NUMERICAL MATHEMATICS | 2016年 / 56卷 / 02期

基金：

美国国家科学基金会;

关键词：

Discrete ill-posed problem; Tikhonov regularization; Generalized Krylov subspace; PARAMETER CHOICE RULES;

D O I：

10.1007/s10543-015-0568-7

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper presents a nonstationary iterated Tikhonov regularization method for the solution of large-scale Tikhonov minimization problems in general form. The method projects the large-scale problem into a sequence of generalized Krylov subspaces of low dimension. The regularization parameter is determined by the discrepancy principle. Numerical examples illustrate the effectiveness of the method.

引用

页码：467 / 487

页数：21

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