Matrix: Botonakis/FEM_3D_thermal2
Description: FEM 3D nonlinear thermal problem, 8-node bricks as volume elements
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| Matrix properties | |
| number of rows | 147,900 |
| number of columns | 147,900 |
| nonzeros | 3,489,300 |
| structural full rank? | yes |
| structural rank | 147,900 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 95% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | I. Botonakis |
| editor | T. Davis |
| date | 2007 |
| kind | thermal problem |
| 2D/3D problem? | yes |
Notes:
This is the smallest problem whose results are useful.
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 46,622,496 |
| Cholesky flop count | 4.9e+10 |
| nnz(L+U), no partial pivoting, with AMD | 93,097,092 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 96,333,467 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 179,092,189 |
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.