Matrix properties
number of rows	15,838
number of columns	15,838
nonzeros	64,424
structural full rank?	yes
structural rank	15,838
# of blocks from dmperm	3,600
# strongly connected comp.	3,600
explicit zero entries	3,138
nonzero pattern symmetry	59%
numeric value symmetry	53%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	W. Liu
editor	T. Davis
date	2004
kind	power network problem
2D/3D problem?	no

Additional fields	size and type
b	full 15838-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	59,254
Cholesky flop count	2.5e+05
nnz(L+U), no partial pivoting, with AMD	102,670
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	48,703
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	102,067

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3138 explicit zero entries.

SVD-based statistics:
norm(A)	75005.5
min(svd(A))	0.000162741
cond(A)	4.60888e+08
rank(A)	15,838
sprank(A)-rank(A)	0
null space dimension	0
full numerical rank?	yes

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.