Matrix: Oberwolfach/t2dal_bci
Description: Oberwolfach: micropyros thruster (boundary cond. indep)
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| Matrix properties | |
| number of rows | 4,257 |
| number of columns | 4,257 |
| nonzeros | 37,465 |
| structural full rank? | yes |
| structural rank | 4,257 |
| # 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 | E. Rudnyi |
| editor | E. Rudnyi |
| date | 2004 |
| kind | model reduction problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| E | sparse 4257-by-4257 |
| Abottom | sparse 4257-by-4257 |
| Aside | sparse 4257-by-4257 |
| Atop | sparse 4257-by-4257 |
| B | sparse 4257-by-1 |
| C | sparse 7-by-4257 |
| cname | full 7-by-7 |
Notes:
Primary matrix in this model reduction problem is the Oberwolfach A matrix
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 115,326 |
| Cholesky flop count | 5.5e+06 |
| nnz(L+U), no partial pivoting, with AMD | 226,395 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 180,860 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 336,323 |
| SVD-based statistics: | |
| norm(A) | 145.643 |
| min(svd(A)) | 3.32437e-17 |
| cond(A) | 4.38107e+18 |
| rank(A) | 4,256 |
| sprank(A)-rank(A) | 1 |
| null space dimension | 1 |
| full numerical rank? | no |
| singular value gap | 1.10911e+10 |
| 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.