Hermitian and normal splitting methods for non-Hermitian positive definite linear systems

作者：Cao, Yang^*; Mao, Lin; Xu, Xun-Qian

来源：Applied Mathematics and Computation, 2014, 243: 690-702.

DOI：10.1016/j.amc.2014.06.031

• Non-Hermitian positive-definite matrix
• HSS iteration
• NSS iteration
• Convergence

In this paper, a Hermitian and normal splitting (HNS) iterative method is proposed for solving non-Hermitian positive definite linear systems arising from convection-diffusion-reaction equations. Theoretical analysis shows that the HNS method converges unconditionally to the exact solution of the linear system. Choices of the parameters are discussed. The corresponding inexact HNS (IHNS) iterative method, which is developed by employing some Krylov subspace methods as its inner process, is studied. Finally, some numerical experiments are presented to demonstrate the effectiveness of the new method.

• 出版日期2014-9-15
• 单位南通大学