期刊论文

Liu, Zhongyun

英文

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

0008-4395

2017

60

4

807-815

10.4153/CMB-2016-077-5

Received by the editors August 22, 2016; revised October 25, 2016. Published electronically January 12, 2017. _e authors would like to thank the supports of the National Natural Science Foundation of China under Grant No. 11371075, the research innovation program of Hunan province for postgraduate students under Grant No. CX2015B374, the Portuguese Funds through FCT–Fundacão para a Ciência, within the Project UID/MAT/00013/2013. AMS subject classification: 15A23, 65F10, 65F15. Keywords: Hermitian positive definite, CSCS splitting, Gauss-Seidel splitting, iterative method, Toeplitz matrix.

本校为第一且通讯机构

AbstractIt is known that every Toeplitz matrix T enjoys a circulant and skew circulant splitting (denoted CSCS) i.e., T = C−S with C a circulantmatrix and S a skew circulantmatrix. Based on the variant of such a splitting (also referred to as CSCS), we first develop classical CSCS iterative methods and then introduce shifted CSCS iterative methods for solving hermitian positive deûnite Toeplitz systems in this paper. The convergence of each method is analyzed. Numerical experiments show that the classical CSCS iterative methods work slightly ...