Matrix properties
number of rows	560
number of columns	560
nonzeros	8,736
structural full rank?	yes
structural rank	560
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	binary
structure	symmetric
Cholesky candidate?	no
positive definite?	no

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

Notes:

Symmetric powers of graphs from Gordon Royle, Univ Western Australia
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,        
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html           
                                                                    
http://www.csse.uwa.edu.au/~gordon/sympower.html                    
                                                                    
Filename in JGD collection: SPG/EX2.sms                             

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	74,333
Cholesky flop count	1.6e+07
nnz(L+U), no partial pivoting, with AMD	148,106
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	110,886
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	133,863

SVD-based statistics:
norm(A)	15.8352
min(svd(A))	5.32917e-17
cond(A)	2.97142e+17
rank(A)	553
sprank(A)-rank(A)	7
null space dimension	7
full numerical rank?	no
singular value gap	1.66462e+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.