Matrix: Andrianov/lpl1
Description: lpl1 matrix from Alexander Andrianov, SAS Institute Inc.
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| Matrix properties | |
| number of rows | 32,460 |
| number of columns | 32,460 |
| nonzeros | 328,036 |
| structural full rank? | yes |
| structural rank | 32,460 |
| # of blocks from dmperm | 3 |
| # strongly connected comp. | 3 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | binary |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | A. Andrianov |
| editor | T. Davis |
| date | 2006 |
| kind | optimization problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 968,227 |
| Cholesky flop count | 1.6e+08 |
| nnz(L+U), no partial pivoting, with AMD | 1,903,994 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 19,297,162 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 36,796,010 |
| SVD-based statistics: | |
| norm(A) | 45.987 |
| min(svd(A)) | 1.47454e-28 |
| cond(A) | 3.11874e+29 |
| rank(A) | 31,143 |
| sprank(A)-rank(A) | 1,317 |
| null space dimension | 1,317 |
| full numerical rank? | no |
| singular value gap | 1.46086e+09 |
| 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.