Matrix: HB/steam2
Description: UNSYMMETRIC - 3D STEAM MODEL OF OIL RES. - 5 X 5 X 6 - 4 DOF MAY 1983
![]() |
| (undirected graph drawing) |
![]() |
![]() |
| Matrix properties | |
| number of rows | 600 |
| number of columns | 600 |
| nonzeros | 5,660 |
| structural full rank? | yes |
| structural rank | 600 |
| # of blocks from dmperm | 151 |
| # strongly connected comp. | 151 |
| explicit zero entries | 8,100 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 19% |
| 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 | 21,336 |
| Cholesky flop count | 1.2e+06 |
| nnz(L+U), no partial pivoting, with AMD | 42,072 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 23,112 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 43,622 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 8100 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 4.6856e+09 |
| min(svd(A)) | 1238.55 |
| cond(A) | 3.78313e+06 |
| rank(A) | 600 |
| 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.