Matrix: Oberwolfach/boneS01
Description: Oberwolfach: 3D trabecular bone
| Matrix properties | |
| number of rows | 127,224 |
| number of columns | 127,224 |
| nonzeros | 5,516,602 |
| structural full rank? | yes |
| structural rank | 127,224 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 1,198,550 |
| 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 127224-by-127224 |
| B | sparse 127224-by-1 |
| C | sparse 3-by-127224 |
| cname | full 3-by-8 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach K matrix
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 59,350,868 | 39,326,988 |
| Cholesky flop count | 1.3e+11 | 4.4e+10 |
| nnz(L+U), no partial pivoting | 118,574,512 | 78,526,752 |
| nnz(V) for QR, upper bound nnz(L) for LU | 129,340,795 | 89,762,505 |
| nnz(R) for QR, upper bound nnz(U) for LU | 255,285,585 | 183,321,279 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1198550 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.