Matrix: DRIVCAV/cavity06
Description: Driven Cavity 10 x 10, Reynolds number: 200
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 1,182 |
| number of columns | 1,182 |
| nonzeros | 29,675 |
| structural full rank? | yes |
| structural rank | 1,182 |
| # of blocks from dmperm | 162 |
| # strongly connected comp. | 162 |
| explicit zero entries | 3,072 |
| nonzero pattern symmetry | 90% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Chapman |
| editor | A. Baggag, Y. Saad |
| date | 1996 |
| kind | subsequent computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 1182-by-1 |
| x | full 1182-by-1 |
Notes:
next: DRIVCAV/cavity07 first: DRIVCAV/cavity05 pattern is the same as the transpose of DRIVCAV/cavity05
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 25,749 |
| Cholesky flop count | 8.2e+05 |
| nnz(L+U), no partial pivoting, with AMD | 50,316 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 37,679 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 121,612 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3072 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 15.7727 |
| min(svd(A)) | 2.34385e-05 |
| cond(A) | 672940 |
| 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.