Matrix properties
number of rows	986,703
number of columns	986,703
nonzeros	47,851,783
structural full rank?	yes
structural rank	986,703
# of blocks from dmperm	2
# strongly connected comp.	2
explicit zero entries	23,814,542
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 986703-by-986703
B	sparse 986703-by-1
C	sparse 3-by-986703
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	2,860,657,842
Cholesky flop count	2.5e+13
nnz(L+U), no partial pivoting, with AMD	5,720,328,981
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	3,245,730,289
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	6,002,495,967

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 23814542 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.