Matrix: Schenk_IBMSDS/3D_28984_Tetra
Description: Olaf Schenk, Univ. Basel: IBM TJ Watson, Yorktown, semiconductor device
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 28,984 |
| number of columns | 28,984 |
| nonzeros | 285,092 |
| structural full rank? | yes |
| structural rank | 28,984 |
| # of blocks from dmperm | 5,439 |
| # strongly connected comp. | 5,439 |
| explicit zero entries | 314,078 |
| nonzero pattern symmetry | 99% |
| numeric value symmetry | 36% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | IBM |
| editor | O. Schenk |
| date | 2003 |
| kind | semiconductor device problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 28984-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 6,646,202 |
| Cholesky flop count | 4.0e+09 |
| nnz(L+U), no partial pivoting, with AMD | 13,263,420 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 8,104,405 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 15,049,119 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 314078 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 1.35225e+21 |
| min(svd(A)) | 1.53557e-36 |
| cond(A) | 8.80617e+56 |
| rank(A) | 846 |
| sprank(A)-rank(A) | 28,138 |
| null space dimension | 28,138 |
| full numerical rank? | no |
| singular value gap | 1.59194e+06 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (A)) |
| status: | ok |
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.