Matrix: GHS_psdef/ramage02
Description: FINITE ELEMENT PROBLEM. NAVIER-STOKES AND CONTINUITY EQUATIONS.
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| Matrix properties | |
| number of rows | 16,830 |
| number of columns | 16,830 |
| nonzeros | 2,866,352 |
| structural full rank? | yes |
| structural rank | 16,830 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | binary |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | A. Ramage |
| editor | N. Gould, Y. Hu, J. Scott |
| date | 2004 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 17,785,665 |
| Cholesky flop count | 2.9e+10 |
| nnz(L+U), no partial pivoting, with AMD | 35,554,500 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 21,310,586 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 47,317,399 |
| SVD-based statistics: | |
| norm(A) | 199.574 |
| min(svd(A)) | 7.3767e-111 |
| cond(A) | 2.70546e+112 |
| rank(A) | 4,562 |
| sprank(A)-rank(A) | 12,268 |
| null space dimension | 12,268 |
| full numerical rank? | no |
| singular value gap | 4.88564e+10 |
| 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.