Matrix properties
number of rows	1,132
number of columns	1,271
nonzeros	14,966
structural full rank?	no
structural rank	1,126
# of blocks from dmperm	3
# strongly connected comp.	12
explicit zero entries	0
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	integer
structure	rectangular
Cholesky candidate?	no
positive definite?	no

author	P. Elbaz-Vincent
editor	J.-G. Dumas
date	2008
kind	combinatorial problem
2D/3D problem?	no

Notes:

Differentials of the Voronoi complex of perfect forms                    
from Philippe Elbaz-Vincent, Institut Fourier, Grenoble, France.         
                                                                         
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,             
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                
                                                                         
http://www-fourier.ujf-grenoble.fr/-Informations-personnelles-.html?P=pev
                                                                         
D_5  Smith Invariants = [ 1:92 3:2 18:1 ]                                
D_6  Smith Invariants = [ 1:338 2:1 ]                                    
D_7  Smith Invariants = [ 1:621 2:5 6:1 60:2 ]                           
D_8  Smith Invariants = [ 1:637 3:3 12:1 ]                               
D_9  Smith Invariants = [ 1:491 ]                                        
D_10 Smith Invariants = [ 1:318 2:3 4:2 ]                                
D_11 Smith Invariants = [ 1:129 2:6 6:1 ]                                
                                                                         
Filename in JGD collection: SL6/D_8.sms                                  

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	565,487
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	512,491

SVD-based statistics:
norm(A)	22.4653
min(svd(A))	5.06151e-31
cond(A)	4.43845e+31
rank(A)	641
sprank(A)-rank(A)	485
null space dimension	491
full numerical rank?	no
singular value gap	5.97122e+13

singular values (MAT file):	click here
SVD method used:	s = svd (full (A)) ;
status:	ok

For a description of the statistics displayed above, click here.

Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.