Matrix: DRIVCAV/cavity05
Description: Driven Cavity 10 x 10, Reynolds number: 0
![]() |
![]() |
| (bipartite graph drawing) | (graph drawing of A+A') |
![]() |
![]() |
![]() |
| Matrix properties | |
| number of rows | 1,182 |
| number of columns | 1,182 |
| nonzeros | 32,632 |
| structural full rank? | yes |
| structural rank | 1,182 |
| # of blocks from dmperm | 162 |
| # strongly connected comp. | 162 |
| explicit zero entries | 115 |
| nonzero pattern symmetry | 90% |
| numeric value symmetry | 61% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Chapman |
| editor | A. Baggag, Y. Saad |
| date | 1996 |
| kind | computational fluid dynamics problem sequence |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 1182-by-1 |
| x | full 1182-by-1 |
Notes:
next: DRIVCAV/cavity06 first: DRIVCAV/cavity05
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 32,530 |
| Cholesky flop count | 1.2e+06 |
| nnz(L+U), no partial pivoting, with AMD | 63,878 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 49,007 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 140,963 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 115 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 13.0072 |
| min(svd(A)) | 2.25403e-05 |
| cond(A) | 577065 |
| rank(A) | 1,182 |
| 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.