Matrix properties
number of rows	19,896
number of columns	19,896
nonzeros	738,598
structural full rank?	yes
structural rank	19,896
# 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?	no

author	Y. Zhou, Y. Saad, M. Tiago, J. Chelikowsky
editor	T. Davis
date	2005
kind	theoretical/quantum chemistry problem
2D/3D problem?	no

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	78,918,573
Cholesky flop count	4.8e+11
nnz(L+U), no partial pivoting, with AMD	157,817,250
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	90,821,242
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	137,911,398

SVD-based statistics:
norm(A)	58.5609
min(svd(A))	0.00803374
cond(A)	7289.38
rank(A)	19,896
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 (R)) ; where [~,R,E] = spqr (A) with droptol of zero
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.