Matrix: TKK/g3rmt3m3
Description: Cylindrical shell, R/t=1e3, 3noded MITC elements, gamma=G. R Kouhia
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| Matrix properties | |
| number of rows | 5,357 |
| number of columns | 5,357 |
| nonzeros | 207,695 |
| structural full rank? | yes |
| structural rank | 5,357 |
| # 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 |
| Additional fields | size and type |
| b | full 5357-by-1 |
| coord | full 5357-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 | 429,359 |
| Cholesky flop count | 5.2e+07 |
| nnz(L+U), no partial pivoting, with AMD | 853,361 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 564,329 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,110,644 |
| SVD-based statistics: | |
| norm(A) | 41.7479 |
| min(svd(A)) | 0 |
| cond(A) | Inf |
| rank(A) | 938 |
| sprank(A)-rank(A) | 4,419 |
| null space dimension | 4,419 |
| full numerical rank? | no |
| singular value gap | 1.85688e+11 |
| 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.