A Modified T. Chan's Preconditioner For Toeplitz Systems

August 1, 2009 - Lv, Xiao-Guang; Huang, Ting-Zhu; Ren, Zhi-Gang

Journal or Book Title: COMPUTERS & MATHEMATICS WITH APPLICATIONS

Volume/Issue: 58

Year Published: 2009

We present a modified T. Chan's preconditioner for solving Toeplitz linear systems by the preconditioned conjugate gradient (PCG) method in this paper. Especially, we give some results when the matrices are Hermitian positive definite Toeplitz matrices. The operation and convergence of the PCG method are discussed. Numerical examples presented illustrate the effectiveness of the preconditioner obtained. (C) 2009 Elsevier Ltd. All rights reserved.

DOI: 10.1016/j.camwa.2009.03.114

Type of Publication: Article

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Tag List
  • chans,
  • coupled human and natural systems