Matrix: GHS_indef/linverse
Description: Gould, Hu, & Scott: matrix inverse approximation (CUTEr)
![]() |
| (undirected graph drawing) |
![]() |
| Matrix properties | |
| number of rows | 11,999 |
| number of columns | 11,999 |
| nonzeros | 95,977 |
| structural full rank? | yes |
| structural rank | 11,999 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | no |
| author | P. Toint |
| editor | P. Toint |
| date | 1991 |
| kind | statistical/mathematical problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 53,988 |
| Cholesky flop count | 2.5e+05 |
| nnz(L+U), no partial pivoting, with AMD | 95,977 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 54,000 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 101,960 |
| SVD-based statistics: | |
| norm(A) | 15.5168 |
| min(svd(A)) | 0.00393169 |
| cond(A) | 3946.61 |
| rank(A) | 11,999 |
| 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.