Matrix: POLYFLOW/mixtank_new
Description: POLYFLOW mixing tank (new version to avoid underflow)
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| Matrix properties | |
| number of rows | 29,957 |
| number of columns | 29,957 |
| nonzeros | 1,990,919 |
| structural full rank? | yes |
| structural rank | 29,957 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 4,122 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 99% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | J. Marchal |
| editor | J. Koster |
| date | 2005 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 29957-by-1 |
Notes:
from Parasol, http://www.parallab.uib.no/projects/parasol/data
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 19,046,921 |
| Cholesky flop count | 3.2e+10 |
| nnz(L+U), no partial pivoting, with AMD | 38,063,885 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 35,545,934 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 81,117,995 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4122 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 18.2214 |
| min(svd(A)) | 8.35097e-11 |
| cond(A) | 2.18195e+11 |
| rank(A) | 29,956 |
| sprank(A)-rank(A) | 1 |
| null space dimension | 1 |
| full numerical rank? | no |
| singular value gap | 1.36079 |
| 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.