Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems

الملخص EN

Landweber method is one of the classical iterative methods for solving linear discrete ill-posed problems.

However, Landweber method generally converges very slowly.

In this paper, we present the vector extrapolation based Landweber method, which exhibits fast and stable convergence behavior.

Moreover, a restarted version of the vector extrapolation based Landweber method is proposed for practical considerations.

Numerical results are given to illustrate the benefits of the vector extrapolation based Landweber method.