Matrix properties
number of rows	12,328
number of columns	12,328
nonzeros	301,700
structural full rank?	yes
structural rank	12,328
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	41,128
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	yes
positive definite?	no

author	A. Cote
editor	T. Davis
date	1997
kind	acoustics problem
2D/3D problem?	yes

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	2,156,718
Cholesky flop count	1.1e+09
nnz(L+U), no partial pivoting, with AMD	4,301,108
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	14,773,580
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	23,332,909

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 41128 explicit zero entries.

SVD-based statistics:
norm(A)	4.02573e+11
min(svd(A))	3.84094e-08
cond(A)	1.04811e+19
rank(A)	12,322
sprank(A)-rank(A)	6
null space dimension	6
full numerical rank?	no
singular value gap	1.81697e+06

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.