Matrix: TKK/cyl6
Description: Cylindrical shell, non-linear analysis, 3 RHS vectors at step 6. R Kouhia
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| Matrix properties | |
| number of rows | 13,681 |
| number of columns | 13,681 |
| nonzeros | 714,241 |
| structural full rank? | yes |
| structural rank | 13,681 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | integer |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | R. Kouhia |
| editor | T. Davis |
| date | 2008 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 13681-by-3 |
Notes:
Matrix problems from Reijo Kouhia, Structural Mechanics, Helsinki University of Technology. http://users.tkk.fi/~kouhia/sparse.html
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,617,535 |
| Cholesky flop count | 2.7e+08 |
| nnz(L+U), no partial pivoting, with AMD | 3,221,389 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,302,305 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 14,813,011 |
| SVD-based statistics: | |
| norm(A) | 321.97 |
| min(svd(A)) | 1.42335e-113 |
| cond(A) | 2.26206e+115 |
| rank(A) | 2,243 |
| sprank(A)-rank(A) | 11,438 |
| null space dimension | 11,438 |
| full numerical rank? | no |
| singular value gap | 5.9994e+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.