Matrix: POLYFLOW/invextr1_new
Description: POLYFLOW flat die (new version to avoid underflow)
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 30,412 |
| number of columns | 30,412 |
| nonzeros | 1,793,881 |
| structural full rank? | yes |
| structural rank | 30,412 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 97% |
| numeric value symmetry | 72% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | J. Marchal |
| editor | J. Koster |
| date | 2005 |
| kind | computational fluid dynamics problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 30412-by-1 |
Notes:
from Parasol, http://www.parallab.uib.no/projects/parasol/data
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 14,654,006 |
| Cholesky flop count | 1.7e+10 |
| nnz(L+U), no partial pivoting, with AMD | 29,277,600 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 28,409,578 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 55,548,781 |
| SVD-based statistics: | |
| norm(A) | 3.03295e+08 |
| min(svd(A)) | 4.47254e-10 |
| cond(A) | 6.78126e+17 |
| rank(A) | 27,502 |
| sprank(A)-rank(A) | 2,910 |
| null space dimension | 2,910 |
| full numerical rank? | no |
| singular value gap | 1.05739 |
| 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.