期刊论文

Liu, Zhongyun

英文

Computers & Mathematics with Applications

0898-1221

2018

75

8

2782-2794

10.1016/j.camwa.2018.01.008

The authors are grateful to the anonymous referees for their valuable comments and suggestions which improved the quality of this paper. Also, the authors would like to thank the supportof the National Natural Science Foundation of China under Grant No. 11371075 , the Portuguese Funds through FCT—Fundacão para a Ciência e a Tecnologia , within the Project UID/MAT/00013/2013 .

本校为第一且通讯机构

In this paper we study efficient iterative methods for real symmetric Toeplitz systems based on the trigonometric transformation splitting (TTS) of the real symmetric Toeplitz matrix A. Theoretical analyses show that if the generating function f of the n×n Toeplitz matrix A is a real positive even function, then the TTS iterative methods converge to the unique solution of the linear system of equations for sufficient large n. Moreover, we derive an upper bound of the contraction factor of the TTS iteration which is dependent solely on the spec...