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一类正则化方法的收敛速率
引用本文:尹秀玲.一类正则化方法的收敛速率[J].喀什师范学院学报,2008,29(6):6-9.
作者姓名:尹秀玲
作者单位:德州学院数学系,山东,德州,253023
摘    要:考虑了解不适定问题的迭代Tikhonov正则化方法的渐近收敛速率.采用对数度量作为广义解x^4的分类标准.对于数据没有或有误差的两种情形,都得到关于渐进收敛速率的相当精细的结论.

关 键 词:不适定问题  正则化方法  渐进收敛速率  对数度量

Convergence Rates for a Regularization Method
YIN Xiu-ling.Convergence Rates for a Regularization Method[J].Journal of Kashgar Teachers College,2008,29(6):6-9.
Authors:YIN Xiu-ling
Institution:YIN Xiu-ling (Department of Mathematics,Dezhou University.Dezhou 253023,Shandong, China)
Abstract:This paper discusses the asymptotic convergence rates of inetated Tikhonov regularization solutions for ill-posed problems.A quite precise picture of asymptotic convergence rates for both cases of exact and inexact data is obtained by using 'logarithmic measure' as the criterion for classfication of x .
Keywords:Ill-posed problems  Regularization method  Logarithmic measure  Asymptotic convergence rates
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