Matrix: DNVS/trdheim
Description: Matrix Representation of TRDHEIM, Mesh of the Trondheim Fjord
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| Matrix properties | |
| number of rows | 22,098 |
| number of columns | 22,098 |
| nonzeros | 1,935,324 |
| structural full rank? | yes |
| structural rank | 22,098 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | binary |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | C. Damhaug |
| editor | N. Gould, Y. Hu, J. Scott |
| date | 2004 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,708,287 |
| Cholesky flop count | 1.6e+08 |
| nnz(L+U), no partial pivoting, with AMD | 3,394,476 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,074,375 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 21,764,103 |
| SVD-based statistics: | |
| norm(A) | 104.629 |
| min(svd(A)) | 0 |
| cond(A) | Inf |
| rank(A) | 2,819 |
| sprank(A)-rank(A) | 19,279 |
| null space dimension | 19,279 |
| full numerical rank? | no |
| singular value gap | 4.9741e+11 |
| 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.