On Monday 15 September 2008, phil wrote:
>   I've been pushing the limits of determinant calculation over
> multivariate polynomial rings.  I can calculate determinants of
> matrices up to 9x9 of the form [[x_0_0, x_0_1],[x_1_0, x_1_1]] (each
> element is a single unique variable).  When I get to 10x10 is runs for
> a while the crashes with:
> Unhandled SIGSEGV: A segmentation fault occured in SAGE.
> This probably occured because a *compiled* component
> of SAGE has a bug in it (typically accessing invalid memory)
> or is not properly wrapped with _sig_on, _sig_off.
> You might want to run SAGE under gdb with 'sage -gdb' to debug this.
> SAGE will now terminate (sorry).

I'll try to reproduce the crash and see what I can do about it. You could help 
by running sage -gdb (if you have gdb installed) and send me the backtrace 
off list. Thanks.

>   9x9 matrices only take about 40 seconds.  The 10x10 calculation runs
> for a long time (>1 hr) before crashing.  This is on 64 bit Ubuntu
> with the patch in Trac #4068 (http://trac.sagemath.org/sage_trac/
> ticket/4068) applied.
>   BTW, what is the underlying algorithm used for the determinants? As
> I understand it, the naive way is O(N!) while the recursive way is
> O(N^3) for a NxN matrix.

See: 

http://groups.google.com/group/sage-devel/browse_thread/thread/7aa1bd1e945ff372/

Cheers,
Martin

-- 
name: Martin Albrecht
_pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
_www: http://www.informatik.uni-bremen.de/~malb
_jab: [EMAIL PROTECTED]


--~--~---------~--~----~------------~-------~--~----~
To post to this group, send email to sage-support@googlegroups.com
To unsubscribe from this group, send email to [EMAIL PROTECTED]
For more options, visit this group at 
http://groups.google.com/group/sage-support
URLs: http://www.sagemath.org
-~----------~----~----~----~------~----~------~--~---

Reply via email to