Index of /research/sparse/mat/JGD_G5

      Name                    Last modified       Size  Description


[DIR] Parent Directory        02-Nov-2009 14:42      -  
[   ] IG5-9.mat               20-Oct-2009 14:15    10k  
[   ] IG5-8.mat               20-Oct-2009 14:15     5k  
[   ] IG5-7.mat               20-Oct-2009 14:15     3k  
[   ] IG5-6.mat               20-Oct-2009 14:15     2k  
[   ] IG5-18.mat              25-Sep-2008 16:28   3.5M  
[   ] IG5-17.mat              20-Oct-2009 14:38   2.0M  
[   ] IG5-16.mat              20-Oct-2009 14:31   1.1M  
[   ] IG5-15.mat              20-Oct-2009 14:24   609k  
[   ] IG5-14.mat              20-Oct-2009 14:20   323k  
[   ] IG5-13.mat              20-Oct-2009 14:18   167k  
[   ] IG5-12.mat              20-Oct-2009 14:17    85k  
[   ] IG5-11.mat              20-Oct-2009 14:16    41k  
[   ] IG5-10.mat              20-Oct-2009 14:15    20k  

Decomposable subspaces at degree d of the invariant ring of G5, Nicolas Thiery.
Univ. Paris Sud.

From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html

http://www.lapcs.univ-lyon1.fr/~nthiery/LinearAlgebra/

Linear Algebra for combinatorics

Abstract:  Computations in algebraic combinatorics often boils down to
sparse linear algebra over some exact field. Such computations are
usually done in high level computer algebra systems like MuPAD or
Maple, which are reasonnably efficient when the ground field requires
symbolic computations. However, when the ground field is, say Q  or
Z/pZ, the use of external specialized libraries becomes necessary. This
document, geared toward developpers of such libraries, present a brief
overview of my needs, which seems to be fairly typical in the
community.

IG5-6: 30 x 77 : rang = 30  (Iteratif: 0.01 s, Gauss: 0.01 s)
IG5-7: 62 x 150 : rang = 62  (Iteratif: 0.02 s, Gauss: 0.01 s)
IG5-8: 156 x 292 : rang = 154  (Iteratif: 0.08 s, Gauss: 0.01 s)
IG5-9: 342 x 540 : rang = 308  (Iteratif: 0.46 s, Gauss: 0.02 s)
IG5-10: 652 x 976 : rang = 527  (Iteratif: 2.1 s, Gauss: 0.07 s)
IG5-11: 1227 x 1692 : rang = 902  (Iteratif: 7.5 s, Gauss: 0.22 s)
IG5-12: 2296 x 2875 : rang = 1578  (Iteratif: 26 s, Gauss: 0.93 s)
IG5-13: 3994 x 4731 : rang = 2532  (Iteratif: 80 s, Gauss: 3.35 s)
IG5-14: 6727 x 7621 : rang = 3906  (Iteratif: 244 s, Gauss: 10.06 s)
IG5-15: 11358 x 11987 : rang = 6146  (Iteratif: s, Gauss: 29.74 s)
IG5-16: 18485 x 18829 : rang = 9519  (Iteratif: s, Gauss: 621.97 s)
IG5-17: 27944 x 30131 : rang = 14060  (Iteratif: s, Gauss: 1973.8 s)