Matrix: QCD/conf5_0-4x4-10
Description: Quantum chromodynamics conf5.0-00l4x4-1000
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 3,072 |
| number of columns | 3,072 |
| nonzeros | 119,808 |
| structural full rank? | yes |
| structural rank | 3,072 |
| # of blocks from dmperm | 2 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 92% |
| numeric value symmetry | 46% |
| type | complex |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | B. Medeke |
| editor | R. Boisvert, R. Pozo, K. Remington, B. Miller, R. Lipman, R. Barrett, J. Dongarra |
| date | 1999 |
| kind | theoretical/quantum chemistry problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,015,776 |
| Cholesky flop count | 7.8e+08 |
| nnz(L+U), no partial pivoting, with AMD | 2,028,480 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,047,318 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,789,278 |
| SVD-based statistics: | |
| norm(A) | 6.89933 |
| min(svd(A)) | 0.00240639 |
| cond(A) | 2867.09 |
| rank(A) | 3,072 |
| 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.