Matrix properties
number of rows	6,435
number of columns	6,435
nonzeros	51,480
structural full rank?	yes
structural rank	6,435
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	53%
type	integer
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

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

Notes:

Simplicial complexes from Homology from Volkmar Welker.     
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html   
                                                            
http://www.mathematik.uni-marburg.de/~welker/               
                                                            
Filename in JGD collection: Homology/n3c6.b7.6435x6435.sms  

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	4,246,625
Cholesky flop count	7.7e+09
nnz(L+U), no partial pivoting, with AMD	8,486,815
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	12,659,868
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	14,851,943

SVD-based statistics:
norm(A)	3.87298
min(svd(A))	7.75647e-203
cond(A)	4.99323e+202
rank(A)	3,432
sprank(A)-rank(A)	3,003
null space dimension	3,003
full numerical rank?	no
singular value gap	2.73097e+14

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.