Matrix: Schenk_IBMNA/c-53
Description: IBM TJ Watson, non-linear optimization
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| Matrix properties | |
| number of rows | 30,235 |
| number of columns | 30,235 |
| nonzeros | 355,139 |
| structural full rank? | yes |
| structural rank | 30,235 |
| # of blocks from dmperm | 42 |
| # strongly connected comp. | 42 |
| explicit zero entries | 17,074 |
| 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 | optimization problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 30235-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 389,865 |
| Cholesky flop count | 3.4e+07 |
| nnz(L+U), no partial pivoting, with AMD | 749,495 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 49,911,958 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 63,499,171 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 17074 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 5361.89 |
| min(svd(A)) | 0.000141322 |
| cond(A) | 3.7941e+07 |
| rank(A) | 30,235 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (A)) |
| status: | ok |

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.