Matrix: Oberwolfach/rail_79841
Description: Oberwolfach: heat transfer, steel profile cooling
| Matrix properties | |
| number of rows | 79,841 |
| number of columns | 79,841 |
| nonzeros | 553,921 |
| structural full rank? | yes |
| structural rank | 79,841 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | P. Benner, J. Saak |
| editor | E. Rudnyi |
| date | 2002 |
| kind | model reduction problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| E | sparse 79841-by-79841 |
| B | sparse 79841-by-7 |
| C | sparse 6-by-79841 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach A matrix
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 1,733,147 | 1,650,417 |
| Cholesky flop count | 1.4e+08 | 1.1e+08 |
| nnz(L+U), no partial pivoting | 3,386,453 | 3,220,993 |
| nnz(V) for QR, upper bound nnz(L) for LU | 4,639,030 | 4,078,059 |
| nnz(R) for QR, upper bound nnz(U) for LU | 10,074,013 | 8,800,326 |
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.