Matrix: Grund/bayer04
Description: Unsymmetric Matrix bayer04, Bayer AG, F. Grund, Aug 1995.
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 20,545 |
| number of columns | 20,545 |
| nonzeros | 85,537 |
| structural full rank? | yes |
| structural rank | 20,545 |
| # of blocks from dmperm | 8,168 |
| # strongly connected comp. | 6 |
| explicit zero entries | 73,545 |
| 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 20545-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 26,089,441 |
| Cholesky flop count | 1.2e+11 |
| nnz(L+U), no partial pivoting, with AMD | 52,158,337 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 266,355 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 553,570 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 73545 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 3.3796e+09 |
| min(svd(A)) | 2.11537e-19 |
| cond(A) | 1.59764e+28 |
| rank(A) | 14,831 |
| sprank(A)-rank(A) | 5,714 |
| null space dimension | 5,714 |
| full numerical rank? | no |
| singular value gap | 1.00003 |
| 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.