Matrix: Grund/bayer03
Description: Unsymmetric Matrix bayer03, Bayer AG, F. Grund, Mar 1995.
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 6,747 |
| number of columns | 6,747 |
| nonzeros | 29,195 |
| structural full rank? | yes |
| structural rank | 6,747 |
| # of blocks from dmperm | 2,419 |
| # strongly connected comp. | 1 |
| explicit zero entries | 27,001 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | Bayer |
| editor | F. Grund |
| date | 1997 |
| kind | chemical process simulation problem |
| 2D/3D problem? | no |
| Additional fields | size and type |
| b | full 6747-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,852,631 |
| Cholesky flop count | 4.2e+09 |
| nnz(L+U), no partial pivoting, with AMD | 5,698,515 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 47,248 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 120,746 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 27001 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 5.41834e+08 |
| min(svd(A)) | 3.3996e-11 |
| cond(A) | 1.59381e+19 |
| rank(A) | 5,680 |
| sprank(A)-rank(A) | 1,067 |
| null space dimension | 1,067 |
| full numerical rank? | no |
| singular value gap | 1.22063 |
| singular values (MAT file): | click here |
| SVD method used: | s = piro_band_svd (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.