Matrix: JGD_SPG/08blocks
Description: Symmetric powers of graphs from Gordon Royle, Univ Western Australia
| Matrix properties | |
| number of rows | 300 |
| number of columns | 300 |
| nonzeros | 592 |
| structural full rank? | yes |
| structural rank | 300 |
| # of blocks from dmperm | 300 |
| # strongly connected comp. | 8 |
| entries not in dmperm blocks | 292 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 3% |
| numeric value symmetry | 0% |
| type | integer |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | G. Royle |
| editor | J.-G. Dumas |
| date | 2008 |
| kind | combinatorial problem |
| 2D/3D problem? | no |
Notes:
Symmetric powers of graphs from Gordon Royle, Univ Western Australia
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html
http://www.csse.uwa.edu.au/~gordon/sympower.html
Filename in JGD collection: SPG/08blocks.sms
| Ordering statistics: | AMD | METIS | DMPERM+ |
| nnz(chol(P*(A+A'+s*I)*P')) | 876 | 1,088 | 300 |
| Cholesky flop count | 2.6e+03 | 4.1e+03 | 3.0e+02 |
| nnz(L+U), no partial pivoting | 1,452 | 1,876 | 592 |
| nnz(V) for QR, upper bound nnz(L) for LU | 300 | 300 | 300 |
| nnz(R) for QR, upper bound nnz(U) for LU | 5,776 | 5,776 | 592 |
Maintained by Tim Davis, last updated 30-Sep-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.