Matrix properties
number of rows	23,412
number of columns	23,412
nonzeros	218,484
structural full rank?	yes
structural rank	23,412
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	98%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	S. Puri
editor	T. Davis
date	2009
kind	model reduction problem
2D/3D problem?	yes

Additional fields	size and type
b	sparse 23412-by-1
c	sparse 1-by-23412
K	sparse 23412-by-23412
M	sparse 23412-by-23412
closedform	full 901-by-2
Vansys	full 901-by-1
Varnoldi	full 901-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	988,060
Cholesky flop count	1.1e+08
nnz(L+U), no partial pivoting, with AMD	1,952,708
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	1,643,800
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	3,073,542

SVD-based statistics:
norm(A)	1.12834e+13
min(svd(A))	0.000568151
cond(A)	1.98598e+16
rank(A)	2,048
sprank(A)-rank(A)	21,364
null space dimension	21,364
full numerical rank?	no
singular value gap	1.00025

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.