Matrix: GHS_indef/c-72
Description: Schenk: IBM TJ Watson, Yorktown, nonlinear optimization
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| 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 |
| 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: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 3,240,482 |
| Cholesky flop count | 2.0e+09 |
| nnz(L+U), no partial pivoting, with AMD | 6,396,900 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 276,569,341 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 369,734,448 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 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.