Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems

X. Xian, L. Hou-biao

In this paper, a lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting (LME-HS) iteration method is introduced for solving the complex symmetric linear systems. Under a loose restriction on parameter θ, we demonstrate that LME-HS iteration method is convergent. Moreover, we present the optimal parameter θ* of the LME-HS method and discuss the spectral properties of corresponding preconditioned matrix. Finally, the numerical experiments are used to verify the effectiveness of the proposed method. 

Tbilisi Mathematical Journal, Vol. 13(4) (2020), pp. 211-221