Matrix: Mittelmann/fome12
Description: Linear programming problem (H. Mittelmann test set)
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| (bipartite graph drawing) |
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| Matrix properties | |
| number of rows | 24,284 |
| number of columns | 48,920 |
| nonzeros | 142,528 |
| structural full rank? | yes |
| structural rank | 24,284 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 4 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | real |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | |
| editor | H. Mittelmann |
| date | 2005 |
| kind | linear programming problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 24284-by-1 |
| c | full 48920-by-1 |
| lo | full 48920-by-1 |
| hi | full 48920-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
| Ordering statistics: | result |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 36,109,275 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,178,824 |
| SVD-based statistics: | |
| norm(A) | 15.917 |
| min(svd(A)) | 5.09752e-16 |
| cond(A) | 3.12249e+16 |
| rank(A) | 24,232 |
| sprank(A)-rank(A) | 52 |
| null space dimension | 52 |
| full numerical rank? | no |
| singular value gap | 2.65607e+13 |
| 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.