Matrix: Bai/mhd1280a
Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMIC
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 1,280 |
| number of columns | 1,280 |
| nonzeros | 47,906 |
| structural full rank? | yes |
| structural rank | 1,280 |
| # of blocks from dmperm | 15 |
| # strongly connected comp. | 15 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 90% |
| numeric value symmetry | 31% |
| type | complex |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Booten, M. Kooper, H. van der Vorst, S. Poedts, J. Goedbloed |
| editor | Z. Bai, D. Day, J. Demmel, J. Dongarra |
| date | 1994 |
| kind | electromagnetics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 38,984 |
| Cholesky flop count | 1.3e+06 |
| nnz(L+U), no partial pivoting, with AMD | 76,688 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 160,961 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 308,785 |
| SVD-based statistics: | |
| norm(A) | 79441.7 |
| min(svd(A)) | 1.94436e-20 |
| cond(A) | 4.08576e+24 |
| rank(A) | 963 |
| sprank(A)-rank(A) | 317 |
| null space dimension | 317 |
| full numerical rank? | no |
| singular value gap | 18.1105 |
| 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.