Matrix properties
number of rows	2,025
number of columns	2,025
nonzeros	100,015
structural full rank?	yes
structural rank	2,025
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	3%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	K. Meerbergen
editor	E. Rudnyi
date	2006
kind	model reduction problem
2D/3D problem?	yes

Additional fields	size and type
M	sparse 2025-by-2025
B	sparse 2025-by-1
E	sparse 2025-by-2025

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	68,442
Cholesky flop count	2.6e+06
nnz(L+U), no partial pivoting, with AMD	134,859
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	98,633
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	178,993

SVD-based statistics:
norm(A)	5094.38
min(svd(A))	9.53826e-07
cond(A)	5.341e+09
rank(A)	2,025
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.