[petsc-users] How to choose a suitable restarted m when using GMRES?

w_ang_temp w_ang_temp at 163.com
Sat Nov 24 11:14:47 CST 2012









>> 2012-11-25 00:46:29,"Jed Brown" <jedbrown at mcs.anl.gov> 写道:

>>On Sat, Nov 24, 2012 at 5:38 PM, w_ang_temp <w_ang_temp at 163.com> wrote:

>>    So, is there no effective way to determine a suitable m? Only by doing lots of tests to find
>>an appropriate value in practical application? Or something need to be noticeable of using GMRES
>>with an effective way?


>Just use the default until it doesn't converge well or until you run out of memory. You're not going to have any theory here unless you know a lot of about your >problem and want to think carefully about it, neither of which seem to be true, and even if it was, it's unlikely to be practically important. If you want some >entertainment, read Mark Embree's 2003 SIAM Review article "The tortoise and the hare restart GMRES".
 
 This article is interesting and helpful. Thanks.

>Consider using MINRES instead of GMRES.
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