ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

Table of Contents
2014's   32,3-4(May)
  Performance comparison of preconditioned iterative methods with direct preconditioners
    By Jae Heon Yun, Hyo Jin Lim ..........1517
Generic Number - 1517
References - 0
Written Date - May 16th, 14
Modified Date - May 16th, 14
Downloaded Counts - 80
Visited Counts - 463
Original File
In this paper, we first provide comparison results of preconditioned AOR methods
with direct preconditioners $I+\beta L$, $I+\beta U$ and $I+\beta (L+U)$ for
solving a linear system whose coefficient matrix is a large sparse irreducible L-
matrix, where $\beta > 0$. Next we propose how to find a near optimal parameter
$\beta$ for which Krylov subspace method with these direct preconditioners
performs nearly best. Lastly numerical experiments are provided to compare the
performance of preconditioned iterative methods and to illustrate the theoretical

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