The residual method for regularizing ill-posed problems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

The residual method for regularizing ill-posed problems

Although the residual method, or constrained regularization, is frequently used in applications, a detailed study of its properties is still missing. This sharply contrasts the progress of the theory of Tikhonov regularization, where a series of new results for regularization in Banach spaces has been published in the recent years. The present paper intends to bridge the gap between the existin...

متن کامل

Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems

We introduce a class of stabilizing Newton-Kaczmarz methods for nonlinear ill-posed problems and analyze their convergence and regularization behaviour. As usual for iterative methods for solving nonlinear ill-posed problems, conditions on the nonlinearity (or the derivatives) have to be imposed in order to obtain convergence. As we shall discuss in general and in some specific examples, the no...

متن کامل

Ill-Posed and Linear Inverse Problems

In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described. For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation.

متن کامل

Residual periodograms for choosing regularization parameters for ill-posed problems

Bert W. Rust and Dianne P. O’Leary Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD 20899. [email protected] Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, MD 20742; [email protected]. Mathematical and Computational Sciences Division, National Institute of Standards...

متن کامل

On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems

In this note we study the convergence of the Levenberg-Marquardt regularization scheme for nonlinear ill-posed problems. We consider the case that the initial error satisfies a source condition. Our main result shows that if the regularization parameter does not grow too fast (not faster than a geometric sequence), then the scheme converges with optimal convergence rates. Our analysis is based ...

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: Applied Mathematics and Computation

سال: 2011

ISSN: 0096-3003

DOI: 10.1016/j.amc.2011.08.009