Matrix properties
number of rows	9,669
number of columns	9,669
nonzeros	67,391
structural full rank?	yes
structural rank	9,669
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	no
positive definite?	no

author	C. Moosmann, A. Griener
editor	E. Rudnyi
date	2004
kind	model reduction problem
2D/3D problem?	yes

Additional fields	size and type
E	sparse 9669-by-9669
B	sparse 9669-by-1
C	sparse 5-by-9669
cname	full 5-by-6

Notes:

Primary matrix in this model reduction problem is the Oberwolfach A matrix

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	295,256
Cholesky flop count	2.0e+07
nnz(L+U), no partial pivoting, with AMD	580,843
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	446,297
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	828,045

SVD-based statistics:
norm(A)	2088.51
min(svd(A))	0.000131409
cond(A)	1.58932e+07
rank(A)	9,669
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.