Matrix: Grund/meg4
Description: Unsymmetric Matrix meg4, 4MB RAM simulation, F. Grund, Oct 1990.
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| Matrix properties | |
| number of rows | 5,860 |
| number of columns | 5,860 |
| nonzeros | 25,258 |
| structural full rank? | yes |
| structural rank | 5,860 |
| # of blocks from dmperm | 1,412 |
| # strongly connected comp. | 1,318 |
| explicit zero entries | 21,584 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | F. Grund |
| editor | F. Grund |
| date | 1997 |
| kind | circuit simulation problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 21,670 |
| Cholesky flop count | 1.2e+05 |
| nnz(L+U), no partial pivoting, with AMD | 37,480 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,204,046 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,114,787 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 21584 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 212573 |
| min(svd(A)) | 5.07099e-06 |
| cond(A) | 4.19194e+10 |
| rank(A) | 5,860 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| 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.