A Modified Tikhonov Regularization Method for Solving Il-l posed Problems------(1）Constroution of Regularization

Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (2): 98-101.

A Modified Tikhonov Regularization Method for Solving Il-l posed Problems------(1）Constroution of Regularization

新乡师范专科学校数学系河南新乡453000,西安交通大学理学院陕西西安710049

Received:1999-12-31 Online:2000-06-30 Published:2024-08-08
About author:WANG Jia-jun（1953－）,male,native of Boai,Henan,an associate professor of Xinxiang Teacher’s College,engages in numerical analysiscomputational mathematics；LI Gong-sheng（1966－）,male,native of Xinxiang,Henan,student for PHD of Xi’an Jiaotong University,engages in numerical analysiscomputational mathematics．

Abstract

Abstract: 对于带有右端扰动数据的第一类紧算子方程的病态问题 ,本文应用正则化子建立了一类新的正则化求解方法 ,称之为改进的Tikonov正则化 ;通过适当选取正则参数 ,证明了正则解具有最优的渐近收敛阶 .与通常的Tikhonov正则化相比 ,这种改进的正则化可使正则解取到足够高的最优渐近阶.

Key words: , 病态问题, 改进的Tikhonov正则化, 正则解的收敛性与渐近阶,

CLC Number:

O175

WANG Jia-jun, LI Gong-sheng. A Modified Tikhonov Regularization Method for Solving Il-l posed Problems------(1）Constroution of Regularization[J]. Chinese Quarterly Journal of Mathematics, 2000, 15(2): 98-101.

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A Modified Tikhonov Regularization Method for Solving Il-l posed Problems------(1）Constroution of Regularization

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