Matrix: Rajat/rajat19
Description: Rajat/rajat19 circuit simulation matrix
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 1,157 |
| number of columns | 1,157 |
| nonzeros | 3,699 |
| structural full rank? | yes |
| structural rank | 1,157 |
| # of blocks from dmperm | 734 |
| # strongly connected comp. | 166 |
| explicit zero entries | 1,700 |
| nonzero pattern symmetry | 90% |
| numeric value symmetry | 92% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | Rajat |
| editor | T. Davis |
| date | 2006 |
| kind | circuit simulation problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,836 |
| Cholesky flop count | 7.5e+03 |
| nnz(L+U), no partial pivoting, with AMD | 4,515 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 23,069 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 55,406 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1700 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 10.9106 |
| min(svd(A)) | 1e-09 |
| cond(A) | 1.09106e+10 |
| rank(A) | 1,157 |
| 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.