Matrix properties
number of rows	18
number of columns	18
nonzeros	82
structural full rank?	yes
structural rank	18
# 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?	yes
positive definite?	yes

author	J. Lienemann, A. Greiner, J. Korvink
editor	E. Rudnyi
date	2004
kind	model reduction problem
2D/3D problem?	yes

Additional fields	size and type
M	sparse 18-by-18
E	sparse 18-by-18
B	sparse 18-by-1
C	sparse 1-by-18

Notes:

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

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	58
Cholesky flop count	2.0e+02
nnz(L+U), no partial pivoting, with AMD	98
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	58
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	86

SVD-based statistics:
norm(A)	333192
min(svd(A))	0.0864259
cond(A)	3.85524e+06
rank(A)	18
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.