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 - 56
Visited Counts - 311
 
Original File
 
Summary
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
results.
 
 
   
 
   

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