Matrix: Schenk_ISEI/nmos3
Description: Olaf Schenk, Univ. Basel: Integrated Systems Eng., San Jose, semiconductor device
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| Matrix properties | |
| number of rows | 18,588 |
| number of columns | 18,588 |
| nonzeros | 237,130 |
| structural full rank? | yes |
| structural rank | 18,588 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 149,464 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 17% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | Integrated Sys. Eng. |
| editor | O. Schenk |
| date | 2003 |
| kind | semiconductor device problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 18588-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,568,546 |
| Cholesky flop count | 2.6e+08 |
| nnz(L+U), no partial pivoting, with AMD | 3,118,504 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,975,045 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,761,189 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 149464 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 4.23078e+12 |
| min(svd(A)) | 5.08807e-09 |
| cond(A) | 8.31509e+20 |
| rank(A) | 11,912 |
| sprank(A)-rank(A) | 6,676 |
| null space dimension | 6,676 |
| full numerical rank? | no |
| singular value gap | 1.00424 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
| 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.