%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