Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems. ETNA - Electronic Transactions on Numerical Analysis

In this paper we compare (augmented) GMRES-type methods and (augmented) CGNE methods. The numerical results show that the CGNE method is more robust and suitable for ill-posed problems with a much higher degree of ill-posedness. GMRES-type methods only yield useful results for very moderately ill-posed problems