Matrix properties
number of rows	5,005
number of columns	5,005
nonzeros	20,033
structural full rank?	yes
structural rank	5,005
# of blocks from dmperm	2,111
# strongly connected comp.	2,111
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	45%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	A. Sherman
editor	I. Duff, R. Grimes, J. Lewis
date	1984
kind	computational fluid dynamics problem
2D/3D problem?	yes

Additional fields	size and type
b	full 5005-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	96,048
Cholesky flop count	7.5e+06
nnz(L+U), no partial pivoting, with AMD	187,091
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	190,653
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	340,378

SVD-based statistics:
norm(A)	6.75844e+06
min(svd(A))	1.34785e-11
cond(A)	5.01425e+17
rank(A)	2,898
sprank(A)-rank(A)	2,107
null space dimension	2,107
full numerical rank?	no
singular value gap	1.03215e+08

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.