Matrix properties
number of rows	3,268
number of columns	3,268
nonzeros	20,963
structural full rank?	yes
structural rank	3,268
# of blocks from dmperm	3,037
# strongly connected comp.	1
explicit zero entries	6,873
nonzero pattern symmetry	1%
numeric value symmetry	0%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	Bayer
editor	F. Grund
date	1997
kind	chemical process simulation problem
2D/3D problem?	no

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	614,071
Cholesky flop count	3.9e+08
nnz(L+U), no partial pivoting, with AMD	1,224,874
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	101,534
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	196,682

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6873 explicit zero entries.

SVD-based statistics:
norm(A)	2.49724e+12
min(svd(A))	6.58487e-18
cond(A)	3.79239e+29
rank(A)	1,666
sprank(A)-rank(A)	1,602
null space dimension	1,602
full numerical rank?	no
singular value gap	1.01108

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.