Matrix: Schenk_IBMNA/c-30
Description: IBM TJ Watson, non-linear optimization
|
| (undirected graph drawing) |
 |
| Matrix properties | |
| number of rows | 5,321 |
| number of columns | 5,321 |
| nonzeros | 65,693 |
| structural full rank? | yes |
| structural rank | 5,321 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| 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 5321-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 42,738 |
| Cholesky flop count | 6.6e+05 |
| nnz(L+U), no partial pivoting, with AMD | 80,155 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,181,808 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,618,370 |
| SVD-based statistics: | |
| norm(A) | 4.68199e+06 |
| min(svd(A)) | 2.23584e-07 |
| cond(A) | 2.09406e+13 |
| rank(A) | 5,320 |
| sprank(A)-rank(A) | 1 |
| null space dimension | 1 |
| full numerical rank? | no |
| singular value gap | 436.395 |
| 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.