Matrix properties
number of rows	36,441
number of columns	36,441
nonzeros	565,761
structural full rank?	yes
structural rank	36,441
# 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:

A = gallery('wathen',100,120) ; % (in MATLAB)                   
To initialize the MATLAB random number generator to replicate   
this matrix, first do the following:                            
rand('state',0); A = gallery('wathen',100,100)                  
and then generate this matrix using the 100,120 arguments above.

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	1,845,324
Cholesky flop count	2.5e+08
nnz(L+U), no partial pivoting, with AMD	3,654,207
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	3,750,470
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	8,902,766

SVD-based statistics:
norm(A)	369.374
min(svd(A))	0.143337
cond(A)	2576.96
rank(A)	36,441
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.