首页|扰动数据具有附加性质的Tikhonov正则化方法的某些研究

扰动数据具有附加性质的Tikhonov正则化方法的某些研究

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Some studies on the Tikhonov regularization method with additional assumptions for noise data
In this paper, the Tikhonov regularization method was used to solve the nondegenerate compact linear operator equation, which is a well-known ill-posed problem. Apart from the usual error level, the noise data were supposed to satisfy some additional monotonic condition. Moreover, with the assumption that the singular values of operator have power form, the improved convergence rates of the regularized solution were worked out.

ill-posed equationTikhonov regularization methodmonotonic conditionconvergence rates

贺国强、尹秀玲

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

ill-posed equation Tikhonov regularization method monotonic condition convergence rates

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子:0.196
ISSN:1007-6417
年,卷(期):2007.11(2)
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