Matrix properties
number of rows	1,000
number of columns	1,000
nonzeros	3,750
structural full rank?	yes
structural rank	1,000
# of blocks from dmperm	318
# strongly connected comp.	318
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
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 1000-by-1

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	9,590
Cholesky flop count	2.5e+05
nnz(L+U), no partial pivoting, with AMD	18,180
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	17,636
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	32,079

SVD-based statistics:
norm(A)	5.04487
min(svd(A))	0.000323487
cond(A)	15595.3
rank(A)	1,000
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.