Matrix: Nemeth/nemeth16
Description: Newton-Schultz iteration, Z_k+1=Z_k+(1/2)*(I-(Z_k)^2)*Z_k. This is Z_16
![]() |
| (undirected graph drawing) |
![]() |
| Matrix properties | |
| number of rows | 9,506 |
| number of columns | 9,506 |
| nonzeros | 587,012 |
| structural full rank? | yes |
| structural rank | 9,506 |
| # 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? | no |
| positive definite? | no |
| author | K. Nemeth |
| editor | T. Davis |
| date | 1999 |
| kind | subsequent theoretical/quantum chemistry problem |
| 2D/3D problem? | no |
Notes:
next: Nemeth/nemeth17 first: Nemeth/nemeth01
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 327,991 |
| Cholesky flop count | 1.1e+07 |
| nnz(L+U), no partial pivoting, with AMD | 646,476 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 331,793 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 658,515 |
| SVD-based statistics: | |
| norm(A) | 0.684442 |
| min(svd(A)) | 0.0447924 |
| cond(A) | 15.2803 |
| rank(A) | 9,506 |
| 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.