Matrix: Oberwolfach/filter3D
Description: Oberwolfach: tunable optical filter
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| 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.