Matrix properties
number of rows	22,835
number of columns	22,835
nonzeros	1,642,407
structural full rank?	yes
structural rank	22,835
# of blocks from dmperm	9,833
# strongly connected comp.	1
explicit zero entries	426
nonzero pattern symmetry	0%
numeric value symmetry	0%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	N. van Velzen
editor	T. Davis
date	2006
kind	chemical process simulation problem
2D/3D problem?	no

Additional fields	size and type
b	full 22835-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	53,561,008
Cholesky flop count	3.4e+11
nnz(L+U), no partial pivoting, with AMD	107,099,181
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	6,207,057
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	20,002,937

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 426 explicit zero entries.

SVD-based statistics:
norm(A)	4.4571e+11
min(svd(A))	2.28194e-13
cond(A)	1.95321e+24
rank(A)	13,371
sprank(A)-rank(A)	9,464
null space dimension	9,464
full numerical rank?	no
singular value gap	1.00141

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.