Matrix: JGD_Franz/Franz10
Description: Cohomology of various rings, from Matthias Franz, Univ. Konstanz, Germany
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| (bipartite graph drawing) |
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| Matrix properties | |
| number of rows | 19,588 |
| number of columns | 4,164 |
| nonzeros | 97,508 |
| structural full rank? | yes |
| structural rank | 4,164 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 0% |
| numeric value symmetry | 0% |
| type | integer |
| structure | rectangular |
| Cholesky candidate? | no |
| positive definite? | no |
| author | M. Franz |
| editor | J.-G. Dumas |
| date | 2008 |
| kind | combinatorial problem |
| 2D/3D problem? | no |
Notes:
Cohomology of various rings, from Matthias Franz, Univ. Konstanz, Germany
From Jean-Guillaume Dumas' Sparse Integer Matrix Collection,
http://ljk.imag.fr/membres/Jean-Guillaume.Dumas/simc.html
Filename in JGD collection: Franz/19588x4164bis
| Ordering statistics: | result |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 51,431,081 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,244,593 |
| SVD-based statistics: | |
| norm(A) | 17.4356 |
| min(svd(A)) | 1.37353e-15 |
| cond(A) | 1.2694e+16 |
| rank(A) | 3,545 |
| sprank(A)-rank(A) | 619 |
| null space dimension | 619 |
| full numerical rank? | no |
| singular value gap | 8.43367e+12 |
| 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.