Matrix: Schenk_IBMNA/c-64b
Description: IBM TJ Watson, non-linear optimization
![]() |
| (undirected graph drawing) |
![]() |
| Matrix properties | |
| number of rows | 51,035 |
| number of columns | 51,035 |
| nonzeros | 707,601 |
| structural full rank? | yes |
| structural rank | 51,035 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 10,240 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | IBM |
| editor | O. Schenk |
| date | 2006 |
| kind | subsequent optimization problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 51035-by-1 |
Notes:
next: - first: Schenk_IBMNA/c-64 An earlier version (Oct. 2003) of this matrix was obtained from Olaf Schenk, and appears here as Schenk_IBMNA/c-64. However, it differs from the version posted on his web site as of Nov. 2006. The new version appears here as Schenk_IBMNA/c-64b. The two matrices are very similar, but not identical.
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 714,598 |
| Cholesky flop count | 5.1e+07 |
| nnz(L+U), no partial pivoting, with AMD | 1,378,161 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 164,995,256 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 214,333,723 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 10240 explicit zero entries.
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.