Matrix: Simon/raefsky6
Description: SLOSH TANK MODEL ARTHUR RAEFSKY, CENTRIC ENG.
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 3,402 |
| number of columns | 3,402 |
| nonzeros | 130,371 |
| structural full rank? | yes |
| structural rank | 3,402 |
| # of blocks from dmperm | 3,402 |
| # strongly connected comp. | 3,402 |
| explicit zero entries | 7,474 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Raefsky |
| editor | H. Simon |
| date | 1993 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 3402-by-1 |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 665,212 |
| Cholesky flop count | 1.8e+08 |
| nnz(L+U), no partial pivoting, with AMD | 1,327,022 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 406,211 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,030,839 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 7474 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 3.97745e+14 |
| min(svd(A)) | 0.0281444 |
| cond(A) | 1.41323e+16 |
| rank(A) | 2,586 |
| sprank(A)-rank(A) | 816 |
| null space dimension | 816 |
| full numerical rank? | no |
| singular value gap | 629.254 |
| 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.