Global Quasi-Minimal Residual Method for Image Restoration

Abstract EN

The global quasi-minimal residual (QMR) method is a popular iterative method for the solution oflinear systems with multiple right-hand sides.

In this paper, we consider the application of the globalQMR method to classical ill-posed problems arising from image restoration.

Since the scale of the problemis usually very large, the computations with the blurring matrix can be very expensive.

In this regard,we use a Kronecker product approximation of the blurring matrix to benefit the computation.

In order toreduce the disturbance of noise to the solution, the Tikhonov regularization technique is adopted to producebetter approximation of the desired solution.

Numerical results show that the global QMR methodoutperforms the classic CGLS method and the global GMRES method.