Matrix properties
number of rows	10,001
number of columns	10,001
nonzeros	49,999
structural full rank?	yes
structural rank	10,001
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	19,992
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	yes
positive definite?	yes

author	J. Blowey
editor	N. Gould
date	1992
kind	materials problem
2D/3D problem?	yes

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	39,996
Cholesky flop count	1.6e+05
nnz(L+U), no partial pivoting, with AMD	69,991
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	40,003
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	79,974

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 19992 explicit zero entries.

SVD-based statistics:
norm(A)	4999.75
min(svd(A))	1.6182e-15
cond(A)	3.08969e+18
rank(A)	9,964
sprank(A)-rank(A)	37
null space dimension	37
full numerical rank?	no
singular value gap	1.11337

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.