| 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 |
| entries not in dmperm blocks | 0 |
| 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: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 2.860658e+09 | - | - |
| Cholesky flop count | 2.5e+13 | - | - |
| nnz(L+U), no partial pivoting | 5.720329e+09 | - | - |
| nnz(V) for QR, upper bound nnz(L) for LU | - | - | - |
| nnz(R) for QR, upper bound nnz(U) for LU | - | - | - |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 23814542 explicit zero entries.
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.