Matrix: Rost/RFdevice
Description: semiconductor device simulation, Johann Rost, Politehnia Univ., Bucharest
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 74,104 |
| number of columns | 74,104 |
| nonzeros | 365,580 |
| structural full rank? | yes |
| structural rank | 74,104 |
| # of blocks from dmperm | 114 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | complex |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | J. Rost |
| editor | T. Davis |
| date | 2007 |
| kind | semiconductor device problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | sparse 74104-by-9 |
Notes:
Numerical Methods Laboratory, Politehnica Univ., Bucharest, Romania. Johann Rost, et al. RF semiconductors and electronic device simulation in the frequency domain. UMFPACK (x=A\b in MATLAB) experiences high fill-in for this matrix. KLU is worse.
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 774,731,752 |
| Cholesky flop count | 2.0e+13 |
| nnz(L+U), no partial pivoting, with AMD | 1,549,389,400 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 55,696,430 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 98,106,749 |
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.