Matrix properties
number of rows	120,576
number of columns	23,740
nonzeros	146,520
structural full rank?	no
structural rank	18,660
# of blocks from dmperm	2
# strongly connected comp.	75,727
explicit zero entries	360
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	integer
structure	rectangular
Cholesky candidate?	no
positive definite?	no

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

Additional fields	size and type
T	full 147240-by-3

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/D6-6.sms               
The original file contains 720 duplicate entries,           
and is the only file in the JGD collection with             
duplicates.  The original triplets can be found             
in Problem.aux.T, where the kth triplet is row k            
of T: row index T(k,1), column index T(k,2), value T(k,3),  
so that A = spconvert (Problem.aux.T)                       

Ordering statistics:	result
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	1,478,161
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	440,884

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 360 explicit zero entries.

SVD-based statistics:
norm(A)	5.47723
min(svd(A))	0
cond(A)	Inf
rank(A)	14,409
sprank(A)-rank(A)	4,251
null space dimension	9,331
full numerical rank?	no
singular value gap	1.94125e+14

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.