Matrix: Li/pli
Description: 3D Finite element matrix, magnetohydrodynamic problem with 5 variables
| Matrix properties | |
| number of rows | 22,695 |
| number of columns | 22,695 |
| nonzeros | 1,350,309 |
| structural full rank? | yes |
| structural rank | 22,695 |
| # of blocks from dmperm | 2 |
| # strongly connected comp. | 2 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | binary |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | B. Li |
| editor | T. Davis |
| date | 1999 |
| kind | duplicate electromagnetics problem |
| 2D/3D problem? | yes |
Notes:
nonzero pattern of Li/li
| Ordering statistics: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 30,408,095 | 13,698,973 | 13,142,870 |
| Cholesky flop count | 7.9e+10 | 1.6e+10 | 1.4e+10 |
| nnz(L+U), no partial pivoting | 60,793,495 | 27,375,251 | 26,263,045 |
| nnz(V) for QR, upper bound nnz(L) for LU | 28,808,169 | 20,942,615 | 20,522,988 |
| nnz(R) for QR, upper bound nnz(U) for LU | 49,884,385 | 39,132,396 | 38,156,141 |
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.