کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628153 | 1631824 | 2014 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we consider the Lavrentiev regularization method and a modified Newton method for obtaining stable approximate solution to nonlinear ill-posed operator equations F(x)=y where F:D(F)âXâ¶X is a nonlinear monotone operator or Fâ²(x0) is nonnegative selfadjoint operator defined on a real Hilbert space X. We assume that only a noisy data yδâX with ây-yδâ⩽δ are available. Further we assume that Fréchet derivative Fâ² of F satisfies center-type Lipschitz condition. A priori choice of regularization parameter is presented. We proved that under a general source condition on x0-xË, the error âxË-xn,αδâ between the regularized approximation xn,αδ(x0,αδâx0) and the solution xË is of optimal order. In the concluding section the algorithm is applied to numerical solution of the inverse gravimetry problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 230, 1 March 2014, Pages 406-413
Journal: Applied Mathematics and Computation - Volume 230, 1 March 2014, Pages 406-413
نویسندگان
Vladmir Vasin, Santhosh George,