A Modified Aor-type Iterative Method for L-matrix Linear Systems

نویسندگان

  • SHI-LIANG WU
  • TING-ZHU HUANG
  • Shi-Liang Wu
  • Ting-Zhu Huang
چکیده

Both Evans et al. and Li et al. have presented preconditioned methods for linear systems to improve the convergence rates of AOR-type iterative schemes. In this paper, we present a new preconditioner. Some comparison theorems on preconditioned iterative methods for solving L-matrix linear systems are presented. Comparison results and a numerical example show that convergence of the preconditioned Gauss-Seidel method is faster than that of the preconditioned AOR iterative method. 2000 Mathematics subject classification: primary 65F10; secondary 15A06.

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تاریخ انتشار 2008