Matrix properties
number of rows	4,101
number of columns	4,101
nonzeros	36,879
structural full rank?	yes
structural rank	4,101
# of blocks from dmperm	1
# strongly connected comp.	1
entries not in dmperm blocks	0
explicit zero entries	0
nonzero pattern symmetry	50%
numeric value symmetry	0%
type	real
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	B. Muite
editor	T. Davis
date	2007
kind	structural problem
2D/3D problem?	yes

Notes:

Chebyshev integration matrix from Benson Muite, Oxford.  Details of the  
matrices can be found in a preprint at http://www.maths.ox.ac.uk/~muite  
entitled "A comparison of Chebyshev methods for solving fourth-order     
semilinear initial boundary value problems," June 2007.   These matrices 
are very ill-conditioned, partly because of the dense rows which are hard
to scale when coupled with the rest of the matrix.                       

Ordering statistics:	AMD	METIS
nnz(chol(P*(A+A'+s*I)*P'))	28,683	37,847
Cholesky flop count	2.0e+05	3.5e+05
nnz(L+U), no partial pivoting	53,265	71,593
nnz(V) for QR, upper bound nnz(L) for LU	20,493	20,493
nnz(R) for QR, upper bound nnz(U) for LU	8,411,151	8,411,151

Maintained by Tim Davis, last updated 30-Sep-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.