Matrix properties
number of rows	5,308
number of columns	5,308
nonzeros	22,592
structural full rank?	yes
structural rank	5,308
# of blocks from dmperm	1,096
# strongly connected comp.	1
explicit zero entries	1,160
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	S. Zitney
editor	S. Hadfield, T. Davis
date	1994
kind	chemical process simulation problem sequence
2D/3D problem?	no

Additional fields	size and type
S	sparse 5308-by-5308
A	cell 76-by-1
Zeros	cell 76-by-1

Notes:

aux.A{i}: ith matrix in sequence. aux.Zeros{i}: binary pattern of explicit
zero entries provided in original data.  aux.S = union of all patterns.   

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	1,934,799
Cholesky flop count	2.1e+09
nnz(L+U), no partial pivoting, with AMD	3,864,290
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	29,269
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	73,802

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1160 explicit zero entries.

SVD-based statistics:
norm(A)	2.99217e+06
min(svd(A))	1.27173e-08
cond(A)	2.35284e+14
rank(A)	5,191
sprank(A)-rank(A)	117
null space dimension	117
full numerical rank?	no
singular value gap	1.03576

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.