Matrix: HB/steam3
Description: UNSYMMETRIC - 1D STEAM MODEL OF OIL RES. - 20 POINTS - 4 DOF MAY 1983
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| Matrix properties | |
| number of rows | 80 |
| number of columns | 80 |
| nonzeros | 314 |
| structural full rank? | yes |
| structural rank | 80 |
| # of blocks from dmperm | 21 |
| # strongly connected comp. | 21 |
| explicit zero entries | 614 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 32% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | R. Grimes |
| editor | I. Duff, R. Grimes, J. Lewis |
| date | 1983 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 236 |
| Cholesky flop count | 7.4e+02 |
| nnz(L+U), no partial pivoting, with AMD | 392 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 203 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 424 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 614 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 1.73857e+10 |
| min(svd(A)) | 0.348153 |
| cond(A) | 4.99369e+10 |
| rank(A) | 80 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| 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.