Matrix: Qaplib/lp_nug15
Description: Netlib LP problem nug15: minimize c'*x, where Ax=b, lo<=x<=hi
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| (bipartite graph drawing) |
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| Matrix properties | |
| number of rows | 6,330 |
| number of columns | 22,275 |
| nonzeros | 94,950 |
| structural full rank? | yes |
| structural rank | 6,330 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | integer |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | M. Resende |
| editor | M. Resende |
| date | 1995 |
| kind | linear programming problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 6330-by-1 |
| c | full 22275-by-1 |
| lo | full 22275-by-1 |
| hi | full 22275-by-1 |
| z0 | full 1-by-1 |
| Ordering statistics: | result |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 78,034,603 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 10,732,660 |
| SVD-based statistics: | |
| norm(A) | 9.82907 |
| min(svd(A)) | 2.24453e-16 |
| cond(A) | 4.37912e+16 |
| rank(A) | 5,698 |
| sprank(A)-rank(A) | 632 |
| null space dimension | 632 |
| full numerical rank? | no |
| singular value gap | 3.23507e+14 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero |
| 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.