Matrix properties
number of rows	914,898
number of columns	914,898
nonzeros	40,878,708
structural full rank?	yes
structural rank	914,898
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	14,589,714
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	yes
positive definite?	yes

author	B. van Rietbergen, E. Rudnyi, J. Korvink
editor	E. Rudnyi
date	2006
kind	model reduction problem
2D/3D problem?	yes

Additional fields	size and type
M	sparse 914898-by-914898
B	sparse 914898-by-1
C	sparse 3-by-914898
cname	full 3-by-8

Notes:

Primary matrix in this model reduction problem is the Oberwolfach K matrix

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	408,655,022
Cholesky flop count	7.7e+11
nnz(L+U), no partial pivoting, with AMD	816,395,146
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	658,325,909
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	1,313,362,527

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 14589714 explicit zero entries.

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.