Matrix: ATandT/pre2
Description: AT&T,harmonic balance method, large example
| Matrix properties | |
| number of rows | 659,033 |
| number of columns | 659,033 |
| nonzeros | 5,834,044 |
| structural full rank? | yes |
| structural rank | 659,033 |
| # of blocks from dmperm | 29,282 |
| # strongly connected comp. | 391 |
| entries not in dmperm blocks | 47,054 |
| explicit zero entries | 125,238 |
| nonzero pattern symmetry | 33% |
| numeric value symmetry | 7% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | R. Melville, D. Long |
| editor | T. Davis |
| date | 2001 |
| kind | frequency-domain circuit simulation problem |
| 2D/3D problem? | no |
| Ordering statistics: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 166,850,203 | 131,066,807 | 65,323,029 |
| Cholesky flop count | 3.4e+11 | 1.5e+11 | 1.2e+11 |
| nnz(L+U), no partial pivoting | 333,041,373 | 261,474,581 | 130,034,079 |
| nnz(V) for QR, upper bound nnz(L) for LU | 280,230,008 | - | 287,475,475 |
| nnz(R) for QR, upper bound nnz(U) for LU | 624,841,823 | - | 648,722,166 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 125238 explicit zero entries.
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.