Matrix: ATandT/twotone
Description: AT&T,harmonic balance method, two-tone. More off-diag nz than onetone
| Matrix properties | |
| number of rows | 120,750 |
| number of columns | 120,750 |
| nonzeros | 1,206,265 |
| structural full rank? | yes |
| structural rank | 120,750 |
| # of blocks from dmperm | 13,135 |
| # strongly connected comp. | 5 |
| entries not in dmperm blocks | 406,980 |
| explicit zero entries | 17,959 |
| nonzero pattern symmetry | 24% |
| numeric value symmetry | 11% |
| 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')) | 33,508,325 | 22,863,184 | 3,863,318 |
| Cholesky flop count | 6.8e+10 | 2.4e+10 | 1.7e+09 |
| nnz(L+U), no partial pivoting | 66,895,900 | 45,605,618 | 8,012,866 |
| nnz(V) for QR, upper bound nnz(L) for LU | 7,437,600 | 10,230,432 | 2,881,957 |
| nnz(R) for QR, upper bound nnz(U) for LU | 20,926,670 | 28,197,471 | 6,447,302 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17959 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.