Matrix properties
number of rows	2,372
number of columns	4,096
nonzeros	933,343
structural full rank?	no
structural rank	2,371
# of blocks from dmperm	2
# strongly connected comp.	1,726
explicit zero entries	0
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	binary
structure	rectangular
Cholesky candidate?	no
positive definite?	no

author	J.-C. Faugeres
editor	J.-G. Dumas
date	2008
kind	combinatorial problem
2D/3D problem?	no

Notes:

Gro"bner basis from Jean-Charles Fauge`res,                 
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html   
                                                            
http://www-calfor.lip6.fr/~jcf/                             
                                                            
Filename in JGD collection: Grobner/HFE18_96.in.sms         

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	2,341,530
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	2,807,609

SVD-based statistics:
norm(A)	555.306
min(svd(A))	9.67124e-15
cond(A)	5.74183e+16
rank(A)	2,371
sprank(A)-rank(A)	0
null space dimension	1
full numerical rank?	no
singular value gap	4.38447e+10

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.