On the solution of a class of complex symmetric linear systems

We present an iterative method for solving the complex symmetric system (W + iT)x = b, where T is an element of R-nxn is a positive definite matrix and W is an element of R-nxn is indefinite. Convergence of the method is investigated. The induced preconditioner is applied to accelerate the convergence rate of the GMRES(l) method and the numerical results are compared with those of the Hermitian normal splitting (HNS) preconditioner. (C) 2017 Elsevier Ltd. All rights reserved.