Matrix: MathWorks/Kaufhold
Description: John Kaufhold, GE. Triggers bug in LU in MATLAB 6.5 on Windows (not Linux)
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| Matrix properties | |
| number of rows | 8,765 |
| number of columns | 8,765 |
| nonzeros | 42,471 |
| structural full rank? | yes |
| structural rank | 8,765 |
| # of blocks from dmperm | 256 |
| # strongly connected comp. | 256 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 78% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | Kaufhold |
| editor | T. Davis |
| date | 2006 |
| kind | counter-example problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 46,565 |
| Cholesky flop count | 4.4e+05 |
| nnz(L+U), no partial pivoting, with AMD | 84,365 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 99,409 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 204,810 |
| SVD-based statistics: | |
| norm(A) | 1e+15 |
| min(svd(A)) | 2.0662 |
| cond(A) | 4.83981e+14 |
| rank(A) | 8,759 |
| sprank(A)-rank(A) | 6 |
| null space dimension | 6 |
| full numerical rank? | no |
| singular value gap | 2.29824 |
| 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.