Group JGD_G5

Group Description
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)
Displaying all 13 collection matrices
Id Name Group Rows Cols Nonzeros Kind Date Download File
1969 IG5-10 JGD_G5 652 976 10,273 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1970 IG5-11 JGD_G5 1,227 1,692 22,110 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1971 IG5-12 JGD_G5 2,296 2,875 46,260 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1972 IG5-13 JGD_G5 3,994 4,731 91,209 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1973 IG5-14 JGD_G5 6,735 7,621 173,337 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1974 IG5-15 JGD_G5 11,369 11,987 323,509 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1975 IG5-16 JGD_G5 18,846 18,485 588,326 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1976 IG5-17 JGD_G5 30,162 27,944 1,035,008 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1977 IG5-18 JGD_G5 47,894 41,550 1,790,490 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1965 IG5-6 JGD_G5 30 77 251 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1966 IG5-7 JGD_G5 62 150 549 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1967 IG5-8 JGD_G5 156 292 1,711 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market
1968 IG5-9 JGD_G5 342 540 4,570 Combinatorial Problem 2008 MATLAB Rutherford Boeing Matrix Market