Matrix: Bindel/ted_A_unscaled
Description: FEM, coupled linear thermoeslasticity eqns on a bar. D Bindel, UC Berkeley
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| (bipartite graph drawing) | (graph drawing of A+A') |
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| Matrix properties | |
| number of rows | 10,605 |
| number of columns | 10,605 |
| nonzeros | 424,587 |
| structural full rank? | yes |
| structural rank | 10,605 |
| # of blocks from dmperm | 4,244 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 57% |
| numeric value symmetry | 11% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | D. Bindel |
| editor | T. Davis |
| date | 2006 |
| kind | thermal problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 510,205 |
| Cholesky flop count | 2.6e+07 |
| nnz(L+U), no partial pivoting, with AMD | 1,009,805 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 4,343,971 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 5,651,891 |
| SVD-based statistics: | |
| norm(A) | 2.22515e+12 |
| min(svd(A)) | 2.14432e-05 |
| cond(A) | 1.03769e+17 |
| rank(A) | 6,363 |
| sprank(A)-rank(A) | 4,242 |
| null space dimension | 4,242 |
| full numerical rank? | no |
| singular value gap | 27.3551 |
| 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.