Matrix properties
number of rows	19,588
number of columns	4,164
nonzeros	97,508
structural full rank?	yes
structural rank	4,164
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	integer
structure	rectangular
Cholesky candidate?	no
positive definite?	no

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

Notes:

Cohomology of various rings, from Matthias Franz, Univ. Konstanz, Germany
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,             
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html                
                                                                         
Filename in JGD collection: Franz/19588x4164                             

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	49,806,687
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	5,148,759

SVD-based statistics:
norm(A)	17.4356
min(svd(A))	1.19294e-15
cond(A)	1.46156e+16
rank(A)	3,545
sprank(A)-rank(A)	619
null space dimension	619
full numerical rank?	no
singular value gap	1.04488e+13

singular values (MAT file):	click here
SVD method used:	s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
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.