Matrix: Boeing/msc23052
Description: SYMMETRIC TEST MATRIX FROM MSC/NASTRAN SHOCKF8.OUT2
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| Matrix properties | |
| number of rows | 23,052 |
| number of columns | 23,052 |
| nonzeros | 1,142,686 |
| structural full rank? | yes |
| structural rank | 23,052 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| explicit zero entries | 12,128 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | real |
| structure | symmetric |
| Cholesky candidate? | yes |
| positive definite? | yes |
| author | R. Grimes |
| editor | T. Davis |
| date | 1995 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,777,057 |
| Cholesky flop count | 6.3e+08 |
| nnz(L+U), no partial pivoting, with AMD | 5,531,062 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,670,285 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 15,776,044 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12128 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 7.10158e+08 |
| min(svd(A)) | 0.000955374 |
| cond(A) | 7.43329e+11 |
| rank(A) | 23,020 |
| sprank(A)-rank(A) | 32 |
| null space dimension | 32 |
| full numerical rank? | no |
| singular value gap | 1.03425 |
| 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.