Matrix: Schenk_IBMNA/c-41
Description: IBM TJ Watson, non-linear optimization
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| Matrix properties | |
| number of rows | 9,769 |
| number of columns | 9,769 |
| nonzeros | 101,635 |
| structural full rank? | yes |
| structural rank | 9,769 |
| # of blocks from dmperm | 8 |
| # strongly connected comp. | 8 |
| explicit zero entries | 110 |
| 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 9769-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 153,504 |
| Cholesky flop count | 1.0e+07 |
| nnz(L+U), no partial pivoting, with AMD | 297,239 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,630,571 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,709,653 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 110 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 47781.9 |
| min(svd(A)) | 1.00001e-08 |
| cond(A) | 4.77816e+12 |
| rank(A) | 9,705 |
| sprank(A)-rank(A) | 64 |
| null space dimension | 64 |
| full numerical rank? | no |
| singular value gap | 2.55344 |
| 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.