Matrix: Oberwolfach/filter3D
Description: Oberwolfach: tunable optical filter
(undirected graph drawing) |
Matrix properties | |
number of rows | 106,437 |
number of columns | 106,437 |
nonzeros | 2,707,179 |
structural full rank? | yes |
structural rank | 106,437 |
# 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 | D. Hohlfield, T. Bechtold, H. Zappe |
editor | E. Rudnyi |
date | 2006 |
kind | model reduction problem |
2D/3D problem? | yes |
Additional fields | size and type |
E | sparse 106437-by-106437 |
B | sparse 106437-by-1 |
C | sparse 5-by-106437 |
cname | full 5-by-5 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach A matrix
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 29,046,310 |
Cholesky flop count | 2.1e+10 |
nnz(L+U), no partial pivoting, with AMD | 57,986,183 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 49,435,304 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 132,404,717 |
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.