Matrix: Bai/mhd4800b
Description: ALFVEN SPECTRA IN MAGNETOHYDRODYNAMICS
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| Matrix properties | |
| number of rows | 4,800 |
| number of columns | 4,800 |
| nonzeros | 27,520 |
| structural full rank? | yes |
| structural rank | 4,800 |
| # of blocks from dmperm | 14 |
| # strongly connected comp. | 14 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | yes |
| 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 | 16,160 |
| Cholesky flop count | 6.0e+04 |
| nnz(L+U), no partial pivoting, with AMD | 27,520 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 16,160 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 28,076 |
| SVD-based statistics: | |
| norm(A) | 2.19627 |
| min(svd(A)) | 2.68988e-14 |
| cond(A) | 8.16492e+13 |
| rank(A) | 4,798 |
| sprank(A)-rank(A) | 2 |
| null space dimension | 2 |
| full numerical rank? | no |
| singular value gap | 2.2693 |
| 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.