Matrix: JGD_SPG/08blocks
Description: Symmetric powers of graphs from Gordon Royle, Univ Western Australia
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| 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 |
| 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: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 876 |
| Cholesky flop count | 2.6e+03 |
| nnz(L+U), no partial pivoting, with AMD | 1,452 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 300 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,776 |
| SVD-based statistics: | |
| norm(A) | 385.446 |
| min(svd(A)) | 0.0735189 |
| cond(A) | 5242.82 |
| rank(A) | 300 |
| sprank(A)-rank(A) | 0 |
| null space dimension | 0 |
| full numerical rank? | yes |
| 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.