中文摘要：

本文研究关于系数矩阵为位移埃尔米特和位移反埃尔米特矩阵的复线性方程组的简便而有效的分裂迭代算法及其收敛性质．由于复系数线性方程组的系数矩阵由实部和虚部组成，运用松弛加速技术，我们得到了求解位移线性方程组的加速超松弛迭代算法，并分析了这类算法的收敛性质．数值算例表明，这类加速超松弛迭代算法是可行且有效的．

英文摘要：

We study iterative solutions for the shifted linear systems arising from the Hermitian and skew-Hermitian splitting iteration method for solving complex linear systems as well as other application areas. Because a complex matrix has real and imaginary parts, by making use of the accelerated overrelaxation technique we establish accelerated overrelaxation iteration methods for solving the shifted linear systems. The convergence of the proposed iteration methods are analyzed in detail and numerical results are presented to show their feasibility and efficiency.