Matrix: Simon/raefsky1
Description: INCOMPRESSIBLE FLOW IN PRESSURE DRIVEN PIPE, T=05, A. RAEFSKY, CENTRIC
![]() |
| (undirected graph drawing) |
![]() |
| Matrix properties | |
| number of rows | 3,242 |
| number of columns | 3,242 |
| nonzeros | 293,409 |
| structural full rank? | yes |
| structural rank | 3,242 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 867 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 9% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Raefsky |
| editor | H. Simon |
| date | 1993 |
| kind | computational fluid dynamics problem sequence |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 3242-by-1 |
Notes:
next: Simon/raefsky2 first: Simon/raefsky1
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,135,437 |
| Cholesky flop count | 5.6e+08 |
| nnz(L+U), no partial pivoting, with AMD | 2,267,632 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,847,445 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,422,969 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 867 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 3.70951 |
| min(svd(A)) | 0.000287892 |
| cond(A) | 12885.1 |
| rank(A) | 3,242 |
| 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.