Generalized Hermitian and skew-Hermitian splitting iterative method for image restoration

In this study, we apply the generalized Hermitian and skew-Hermitian splitting (GHSS) iterative method to the problem of image restoration. We employ a new split of the Hermitian part of the coefficient matrix of the problem. Moreover, we introduce a restricted version of the GHSS (RGHSS) iterative method and we describe its convergence properties. We also give the optimal parameter that minimizes the spectral radius of the iteration matrix of the RGHSS method. We present some numerical examples to demonstrate the effectiveness and accuracy of the method, and we also compare it with a recently proposed method.