Matrix: Bai/qh768
Description: QUEBEC HYDRO POWER SYSTEM
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 768 |
| number of columns | 768 |
| nonzeros | 2,934 |
| structural full rank? | yes |
| structural rank | 768 |
| # of blocks from dmperm | 43 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 93% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | D. Ndereyimana |
| editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
| date | 1994 |
| kind | power network problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,884 |
| Cholesky flop count | 1.2e+04 |
| nnz(L+U), no partial pivoting, with AMD | 5,000 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,205 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,409 |
| SVD-based statistics: | |
| norm(A) | 1.3567e+13 |
| min(svd(A)) | 0.000157026 |
| cond(A) | 8.63998e+16 |
| rank(A) | 644 |
| sprank(A)-rank(A) | 124 |
| null space dimension | 124 |
| full numerical rank? | no |
| singular value gap | 1.03685 |
| 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.