Matrix: DRIVCAV/cavity17
Description: Driven Cavity 20 x 20, Reynolds number: 100
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 4,562 |
| number of columns | 4,562 |
| nonzeros | 131,735 |
| structural full rank? | yes |
| structural rank | 4,562 |
| # of blocks from dmperm | 322 |
| # strongly connected comp. | 322 |
| explicit zero entries | 6,452 |
| nonzero pattern symmetry | 95% |
| 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 4562-by-1 |
| x | full 4562-by-1 |
Notes:
next: DRIVCAV/cavity18 first: DRIVCAV/cavity16 pattern is the same as the transpose of DRIVCAV/cavity16
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 153,446 |
| Cholesky flop count | 9.1e+06 |
| nnz(L+U), no partial pivoting, with AMD | 302,330 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 291,165 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 943,772 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 6452 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 13.0849 |
| min(svd(A)) | 1.39933e-06 |
| cond(A) | 9.35083e+06 |
| rank(A) | 4,562 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| singular values (MAT file): | click here |
| SVD method used: | s = piro_band_svd (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.