Note to the mixed-type splitting iterative method for Z-matrices linear systems

  • Authors:

  • Guang-Hui Cheng;Ting-Zhu Huang;Shu-Qian Shen

  • Affiliations:

  • School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, the mixed-type splitting iterative method is established for solving the linear system Ax=b, where A is a Z-matrix. The iterative method contains an auxiliary matrix L"1(D"1) that is restricted to be nonnegative strictly lower triangular (diagonal) matrix. Comparison theorems show that the proper choice of the L"1(D"1) can lead to the convergence rate of the Mixed-Type Iterative Method faster than that of the SOR and AOR type iterative methods for solving Ax=b. Numerical results are presented.