| Matrix properties | |
| number of rows | 19,998 |
| number of columns | 19,998 |
| nonzeros | 99,982 |
| structural full rank? | yes |
| structural rank | 19,998 |
| # 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? | yes |
| positive definite? | yes |
| author | J. Lienemann, A. Greiner, J. Korvink |
| editor | E. Rudnyi |
| date | 2004 |
| kind | model reduction problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| M | sparse 19998-by-19998 |
| E | sparse 19998-by-19998 |
| B | sparse 19998-by-1 |
| C | sparse 1-by-19998 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach K matrix
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 69,988 | 104,941 |
| Cholesky flop count | 2.5e+05 | 5.5e+05 |
| nnz(L+U), no partial pivoting | 119,978 | 189,884 |
| nnz(V) for QR, upper bound nnz(L) for LU | 69,988 | 119,262 |
| nnz(R) for QR, upper bound nnz(U) for LU | 109,976 | 201,992 |
Maintained by Tim Davis, last updated 04-May-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.