2006•Gongcheng shuxue xuebaoRequires access

A New Regularizing Filter and Regularization Algorithm for Solving Ill-posed Problems

Gongsheng Li

Abstract

By using the sigular system theory of compact operator, a new regularizing filter and a new regularization method for solving ill-posed problems are established. The convergence and the optimal asymptotic order of the regularized solution are obtained. Numerical results show that the constructed regularization is effective and practical.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Regularization (linguistics), Mathematics, Backus–Gilbert method, Well-posed problem, Regularization perspectives on support vector machines, Algorithm, Applied mathematics, Convergence (economics)