%0 Journal Article %A Guiding Gu and Guo Liu %D 2013 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 74, 2013 %T On Convergence Property of MINRES Method for Solving a Complex Shifted Hermitian Linear System %U https://publications.waset.org/pdf/16770 %V 74 %X We discuss the convergence property of the minimum residual (MINRES) method for the solution of complex shifted Hermitian system (αI + H)x = f. Our convergence analysis shows that the method has a faster convergence than that for real shifted Hermitian system (Re(α)I + H)x = f under the condition Re(α) + λmin(H) > 0, and a larger imaginary part of the shift α has a better convergence property. Numerical experiments show such convergence properties. %P 290 - 294