Modified HSS iteration methods for a class of complex symmetric linear systems (Q971929)

The authors present a modification of the Hermitian and skew-Hermitian splitting (HSS) iteration, which consists in the fact that solution of linear system with coefficient matrix \(\alpha I +\) i \(T\) is avoided and only two linear sub-systems with real symmetric and positive definite matrices \(\alpha I + W\) and \(\alpha I + T\) are solved at each step. They prove that this modified HSS iteration is unconditionally convergent.