| A Restarted Conjugate Gradient Method for Ill—posed Problems |
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| 作者姓名： | Yan-feiWang |
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| 作者单位： | LaboratoryofRenoteSensingInformationSciences,InstituteofRenoteSensingApplications,ChineseAcademyofSciences,P.O.Box9718,Beijing100101,China |
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| 基金项目： | Supported by CAS Hundred Talents Program and Digital Earth (KZCX2-312),also partially supported by National Natural Science Foundation of China (No.19731010). |
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| 摘 要： | This paper presents a restarted conjugate gradient iterative algorithm for solving ill-posed problems.The damped Morozov‘s discrepancy principle is used as a stopping rule,Numerical experiments are given to illustrate the efficiency of the method.
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| 关 键 词： | 再启动共轭梯度法 病态问题 阻尼Morozov偏差原理 停止规则 Hilbert空间 算子方程 Tikhonov正规化 欧拉方程 |
A Restarted Conjugate Gradient Method for Ill-posed Problems |
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| Yan-feiWang.A Restarted Conjugate Gradient Method for Ill-posed Problems[J].Acta Mathematicae Applicatae Sinica,2003,19(1):31-40. |
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| Authors: | Email author" target="_blank">Yan-fei?WangEmail author |
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| Institution: | (1) Laboratory of Remote Sensing Information Sciences, Institute of Remote Sensing Applications, Chinese Academy of Sciences, P. O. Box 9718, Beijing 100101, China (E-mail: wyf@lsec.cc.ac.cn; w.yanfei@163.com) & State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering computing, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, China, CN |
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| Abstract: | This paper presents a restarted conjugate gradient iterative algorithm for solving ill-posed problems. The damped Morozov's discrepancy principle is used as a stopping rule. Numerical experiments are given to illustrate the efficiency of the method. |
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| Keywords: | Ill-posed problems restarted CG damped discrepancy principle |
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