Matrix properties
number of rows	30,401
number of columns	30,401
nonzeros	471,601
structural full rank?	yes
structural rank	30,401
# 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?	yes

author	A. Wathen
editor	N. Gould, Y. Hu, J. Scott
date	2004
kind	random 2D/3D problem
2D/3D problem?	yes

Notes:

rand('state',0); A = gallery('wathen',100,100) ; % (in MATLAB)

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	1,490,209
Cholesky flop count	1.9e+08
nnz(L+U), no partial pivoting, with AMD	2,950,017
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	2,975,942
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	7,068,015

SVD-based statistics:
norm(A)	369.674
min(svd(A))	0.0635614
cond(A)	5816.01
rank(A)	30,401
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.