| Matrix properties | |
| number of rows | 84,064 |
| number of columns | 84,064 |
| nonzeros | 707,546 |
| structural full rank? | yes |
| structural rank | 84,064 |
| # of blocks from dmperm | 7 |
| # strongly connected comp. | 7 |
| entries not in dmperm blocks | 18 |
| explicit zero entries | 12 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | IBM |
| editor | O. Schenk |
| date | 2004 |
| kind | optimization problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 84064-by-1 |
Notes:
Revised Nov 2006; relative eps changes to A, right-hand-side added. Note that this matrix should have been placed in the Schenk_IBMNA/ directory when it was first added in August 2004, but moving it now would disrupt exising users of the collection.
| Ordering statistics: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 3,240,482 | 3,154,681 | 2,987,606 |
| Cholesky flop count | 2.0e+09 | 1.4e+09 | 1.3e+09 |
| nnz(L+U), no partial pivoting | 6,396,900 | 6,225,298 | 5,891,166 |
| nnz(V) for QR, upper bound nnz(L) for LU | 36,785,126 | 27,643,400 | 27,874,765 |
| nnz(R) for QR, upper bound nnz(U) for LU | 70,692,911 | 56,183,136 | 55,470,842 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 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.