Abstract
In modern applications such as in the modeling of electric currents in magnetic fields, solving complex symmetric systems are increasingly important. For the non-Hermitian symmetric case, orthogonality cannot be achieved using a standard Hermitian Krylov subspace method. In this study, iterative methods based on CS-MINRES-QLP are proposed. Same as the MINRE method, the proposed methods are reliable not only on positive-definite systems but also on indefinite systems. And the proposed methods can also solve ill-conditioned or incompatible singular symmetric systems. The performance of the convergence of the methods is evaluated by applying them for electromagnetic field simulations. The results indicate that the proposed methods give more accurate solutions than the MINRES-based method and show a smoother and faster convergence behavior.
