Matrix: Koutsovasilis/F1
Description: Matrix from Panagiotis Koutsovasilis, Technische Universita(")t Dresden
| Matrix properties | |
| number of rows | 343,791 |
| number of columns | 343,791 |
| nonzeros | 26,837,113 |
| structural full rank? | yes |
| structural rank | 343,791 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | yes |
| author | P. Koutsovasilis |
| editor | T. Davis |
| date | 2006 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 343791-by-33 |
Notes:
Stiffness matrix from an AUDI engine crankshaft
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 229,631,530 | 179,798,844 |
| Cholesky flop count | 4.6e+11 | 2.4e+11 |
| nnz(L+U), no partial pivoting | 458,919,269 | 359,253,897 |
| nnz(V) for QR, upper bound nnz(L) for LU | 456,286,024 | - |
| nnz(R) for QR, upper bound nnz(U) for LU | 1,174,873,903 | - |
Maintained by Tim Davis, last updated 30-Sep-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.