Matrix: Rothberg/cfd1
Description: CFD, symmetric pressure matrix, from Ed Rothberg, Silicon Graphics, Inc.
| Matrix properties | |
| number of rows | 70,656 |
| number of columns | 70,656 |
| nonzeros | 1,825,580 |
| structural full rank? | yes |
| structural rank | 70,656 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 2,784 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | yes |
| author | E. Rothberg |
| editor | T. Davis |
| date | 1997 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 35,877,440 | 19,831,820 |
| Cholesky flop count | 4.1e+10 | 1.2e+10 |
| nnz(L+U), no partial pivoting | 71,684,224 | 39,592,984 |
| nnz(V) for QR, upper bound nnz(L) for LU | 57,045,725 | 33,992,507 |
| nnz(R) for QR, upper bound nnz(U) for LU | 103,569,465 | 65,218,867 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2784 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.