Matrix properties
number of rows	32,780
number of columns	32,780
nonzeros	403,450
structural full rank?	yes
structural rank	32,780
# 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?	no
positive definite?	no

author	IBM
editor	O. Schenk
date	2004
kind	optimization problem
2D/3D problem?	no

Additional fields	size and type
b	full 32780-by-1

Notes:

Revised Nov 2006; relative eps changes to A, right-hand-side added.
Note that this matrix should have been placed in the Schenk_IBMNA/ 
directory when it was first added in August 2004, but moving it now
would disrupt exising users of the collection.                     

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	4,586,486
Cholesky flop count	5.4e+09
nnz(L+U), no partial pivoting, with AMD	9,140,192
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	64,521,135
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	84,856,169

SVD-based statistics:
norm(A)	94044.7
min(svd(A))	0.000198225
cond(A)	4.74433e+08
rank(A)	32,780
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.