| Matrix properties | |
| number of rows | 19,728 |
| number of columns | 29,856 |
| nonzeros | 148,416 |
| structural full rank? | yes |
| structural rank | 19,728 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | integer |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | S. Karisch, F. Rendl |
| editor | H. Mittelmann |
| date | 1995 |
| kind | linear programming problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 19728-by-1 |
| c | full 29856-by-1 |
| lo | full 29856-by-1 |
| hi | full 29856-by-1 |
| z0 | full 1-by-1 |
Notes:
Hans Mittelmann test set, http://plato.asu.edu/ftp/lptestset
minimize c'*x, subject to A*x=b and lo <= x <= hi
NUG: computing LP lower bounds for quadratic assignment problems. see
S.E. KARISCH and F. RENDL. Lower bounds for the quadratic assignment
problem via triangle decompositions. Mathematical Programming,
71(2):137-152, 1995.
K.G. Ramakrishnan, M.G.C. Resende, B. Ramachandran, and J.F. Pekny,
"Tight QAP bounds via linear programming," Combinatorial and Global
Optimization, P.M. Pardalos, A. Migdalas, and R.E. Burkard, eds.,
World Scientific Publishing Co., Singapore, pp. 297-303, 2002.
| Ordering statistics: | AMD | METIS |
| nnz(V) for QR, upper bound nnz(L) for LU | 184,473,912 | 105,050,062 |
| nnz(R) for QR, upper bound nnz(U) for LU | 114,635,182 | 56,058,812 |
Maintained by Tim Davis, last updated 05-Mar-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.