Matrix properties
number of rows	21,982
number of columns	21,982
nonzeros	1,455,374
structural full rank?	yes
structural rank	21,982
# of blocks from dmperm	11,091
# strongly connected comp.	1
explicit zero entries	474
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 21982-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	43,047,350
Cholesky flop count	2.5e+11
nnz(L+U), no partial pivoting, with AMD	86,072,718
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	8,882,282
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	22,063,906

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 474 explicit zero entries.

SVD-based statistics:
norm(A)	5.07101e+11
min(svd(A))	4.98673e-16
cond(A)	1.0169e+27
rank(A)	12,047
sprank(A)-rank(A)	9,935
null space dimension	9,935
full numerical rank?	no
singular value gap	1.00315

singular values (MAT file):	click here
SVD method used:	s = piro_band_svd (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.