| Matrix properties | |
| number of rows | 415,863 |
| number of columns | 415,863 |
| nonzeros | 19,173,163 |
| structural full rank? | yes |
| structural rank | 415,863 |
| # of blocks from dmperm | 11,079 |
| # strongly connected comp. | 11,079 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 1,067,772 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | yes |
| author | J. Weiher |
| editor | J. Koster |
| date | 2005 |
| kind | structural problem |
| 2D/3D problem? | yes |
Notes:
from Parasol, http://www.parallab.uib.no/projects/parasol/data
| Ordering statistics: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 49,171,026 | 50,092,578 | 49,171,026 |
| Cholesky flop count | 1.9e+10 | 1.6e+10 | 1.9e+10 |
| nnz(L+U), no partial pivoting | 97,926,189 | 99,769,293 | 97,926,189 |
| nnz(V) for QR, upper bound nnz(L) for LU | 180,499,633 | 102,550,810 | 103,457,782 |
| nnz(R) for QR, upper bound nnz(U) for LU | 375,295,286 | 212,049,510 | 212,184,491 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1067772 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.