A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonlinear regularization methods for ill-posed problems

In this paper we consider nonlinear ill-posed problems with piecewise constant or strongly varying solutions. A class of nonlinear regularization methods is proposed, in which smooth approximations to the Heavyside function are used to reparameterize functions in the solution space by an auxiliary function of levelset type. The analysis of the resulting regularization methods is carried out in ...

متن کامل

Iterated Lavrentiev Regularization for Nonlinear Ill-posed Problems

We consider an iterated form of Lavrentiev regularization, using a null sequence (αk) of positive real numbers to obtain a stable approximate solution for ill-posed nonlinear equations of the form F(x)= y, where F : D(F)⊆ X→ X is a nonlinear operator and X is a Hilbert space. Recently, Bakushinsky and Smirnova [“Iterative regularization and generalized discrepancy principle for monotone operato...

متن کامل

Regularization Methods for Ill-Posed Problems with Monotone Nonlinear Part

We present regularization methods for solving ill-posed Hammerstein type operator equations under weaker conditions than in earlier studies such as [13]. Our semilocal convergence analysis is based on majorizing sequences. Numerical examples where the new convergence criteria are satisfied but the old criteria are not satified are also presented at the end of the study. AMS (MOS) Subject Classi...

متن کامل

Applications of the Modified Discrepancy Principle to Tikhonov Regularization of Nonlinear Ill-posed Problems∗

In this paper, we consider the finite-dimensional approximations of Tikhonov regularization for nonlinear ill-posed problems with approximately given right-hand sides. We propose an a posteriori parameter choice strategy, which is a modified form of Morozov’s discrepancy principle, to choose the regularization parameter. Under certain assumptions on the nonlinear operator, we obtain the converg...

متن کامل

Learning, Regularization and Ill-Posed Inverse Problems

Many works have shown that strong connections relate learning from examples to regularization techniques for ill-posed inverse problems. Nevertheless by now there was no formal evidence neither that learning from examples could be seen as an inverse problem nor that theoretical results in learning theory could be independently derived using tools from regularization theory. In this paper we pro...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematics

سال: 2019

ISSN: 2227-7390

DOI: 10.3390/math7050419