Matrix: TKK/tube1
Description: Tube problem from R. Kouhia
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| Matrix properties | |
| number of rows | 21,498 |
| number of columns | 21,498 |
| nonzeros | 897,056 |
| structural full rank? | yes |
| structural rank | 21,498 |
| # 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 | R. Kouhia |
| editor | T. Davis |
| date | 2008 |
| kind | structural problem |
| 2D/3D problem? | yes |
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 | 2,258,376 |
| Cholesky flop count | 4.7e+08 |
| nnz(L+U), no partial pivoting, with AMD | 4,495,254 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,666,632 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 12,131,864 |
| SVD-based statistics: | |
| norm(A) | 43.2572 |
| min(svd(A)) | 3.1895e-204 |
| cond(A) | 1.35624e+205 |
| rank(A) | 3,583 |
| sprank(A)-rank(A) | 17,915 |
| null space dimension | 17,915 |
| full numerical rank? | no |
| singular value gap | 1.00123e+10 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
| 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.