Matrix: Schenk_AFE/af_shell1
Description: Olaf Schenk, Univ. Basel: AutoForm Eng. GmbH, Zurich. sheet metal forming. indefinite
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| Matrix properties | |
| number of rows | 504,855 |
| number of columns | 504,855 |
| nonzeros | 17,562,051 |
| structural full rank? | yes |
| structural rank | 504,855 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 26,824 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | AutoForm Eng. |
| editor | O. Schenk |
| date | 2003 |
| kind | structural problem sequence |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 504855-by-1 |
Notes:
next: Schenk_AFE/af_shell2 first: Schenk_AFE/af_shell1
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 108,990,904 |
| Cholesky flop count | 8.0e+10 |
| nnz(L+U), no partial pivoting, with AMD | 217,476,953 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 201,837,552 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 392,881,990 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 26824 explicit zero entries.
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.