Matrix: HB/gent113
Description: UNSYMMETRIC PATTERN SUPPLIED BY MORVEN GENTLEMAN, SUMMER 1973
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 113 |
| number of columns | 113 |
| nonzeros | 655 |
| structural full rank? | yes |
| structural rank | 113 |
| # of blocks from dmperm | 18 |
| # strongly connected comp. | 18 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 6% |
| numeric value symmetry | 6% |
| type | binary |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | W. Gentleman |
| editor | A. Curtis, I. Duff, J. Reid |
| date | 1973 |
| kind | statistical/mathematical problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,003 |
| Cholesky flop count | 1.2e+04 |
| nnz(L+U), no partial pivoting, with AMD | 1,893 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 519 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,433 |
| SVD-based statistics: | |
| norm(A) | 11.3192 |
| min(svd(A)) | 1.9093e-17 |
| cond(A) | 5.92844e+17 |
| rank(A) | 107 |
| sprank(A)-rank(A) | 6 |
| null space dimension | 6 |
| full numerical rank? | no |
| singular value gap | 7.16325e+13 |
| 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.