Matrix properties
number of rows	22,835
number of columns	22,835
nonzeros	1,915,726
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	54,109,374
Cholesky flop count	3.4e+11
nnz(L+U), no partial pivoting, with AMD	108,195,913
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	7,848,403
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	22,350,088

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

SVD-based statistics:
norm(A)	4.60419e+11
min(svd(A))	1.87949e-13
cond(A)	2.4497e+24
rank(A)	13,368
sprank(A)-rank(A)	9,467
null space dimension	9,467
full numerical rank?	no
singular value gap	1.00035

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.