Matrix: MKS/fp
Description: 2-D Fokker Planck eqn, electron dyn. in external field. Dan Smith, MKS Inst.
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 7,548 |
| number of columns | 7,548 |
| nonzeros | 834,222 |
| structural full rank? | yes |
| structural rank | 7,548 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 14,331 |
| nonzero pattern symmetry | 76% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | D. Smith |
| editor | T. Davis |
| date | 2006 |
| kind | electromagnetics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,441,448 |
| Cholesky flop count | 4.6e+08 |
| nnz(L+U), no partial pivoting, with AMD | 2,875,348 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,567,452 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 6,715,099 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 14331 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 2.8329e+09 |
| min(svd(A)) | 0.000590518 |
| cond(A) | 4.79731e+12 |
| rank(A) | 7,547 |
| sprank(A)-rank(A) | 1 |
| null space dimension | 1 |
| full numerical rank? | no |
| singular value gap | 6.66485 |
| 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.