Matrix: PARSEC/Si10H16
Description: Real-space pseudopotential method. Zhou, Saad, Tiago, Chelikowsky, Univ MN
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| Matrix properties | |
| number of rows | 17,077 |
| number of columns | 17,077 |
| nonzeros | 875,923 |
| structural full rank? | yes |
| structural rank | 17,077 |
| # 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 | Y. Zhou, Y. Saad, M. Tiago, J. Chelikowsky |
| editor | T. Davis |
| date | 2005 |
| kind | theoretical/quantum chemistry problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 56,103,003 |
| Cholesky flop count | 2.8e+11 |
| nnz(L+U), no partial pivoting, with AMD | 112,188,929 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 64,109,715 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 95,956,598 |
| SVD-based statistics: | |
| norm(A) | 36.9229 |
| min(svd(A)) | 0.000655427 |
| cond(A) | 56334.2 |
| rank(A) | 17,077 |
| 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.