Matrix: Nemeth/nemeth21
Description: Newton-Schultz iteration, Z_k+1=Z_k+(1/2)*(I-(Z_k)^2)*Z_k. This is Z_21
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| Matrix properties | |
| number of rows | 9,506 |
| number of columns | 9,506 |
| nonzeros | 1,173,746 |
| 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/nemeth22 first: Nemeth/nemeth01
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 621,655 |
| Cholesky flop count | 4.1e+07 |
| nnz(L+U), no partial pivoting, with AMD | 1,233,804 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 640,471 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,297,263 |
| SVD-based statistics: | |
| norm(A) | 0.999999 |
| min(svd(A)) | 0.637623 |
| cond(A) | 1.56832 |
| 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.