Matrix: FIDAP/ex35
Description: TEST MATRIX FROM FIDAP: EX35.MAT
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| Matrix properties | |
| number of rows | 19,716 |
| number of columns | 19,716 |
| nonzeros | 227,872 |
| structural full rank? | yes |
| structural rank | 19,716 |
| # of blocks from dmperm | 342 |
| # strongly connected comp. | 342 |
| explicit zero entries | 336 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 46% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Baggag, Y. Saad |
| editor | A. Baggag, Y. Saad |
| date | 1994 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 556,236 |
| Cholesky flop count | 2.5e+07 |
| nnz(L+U), no partial pivoting, with AMD | 1,092,756 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 698,951 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,353,299 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 336 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 3.50792e+07 |
| min(svd(A)) | 1.59261e-05 |
| cond(A) | 2.20263e+12 |
| rank(A) | 19,673 |
| sprank(A)-rank(A) | 43 |
| null space dimension | 43 |
| full numerical rank? | no |
| singular value gap | 1.02837 |
| 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.