Matrix: HB/west0479
Description: U 8 STAGE COLUMN SECTION, ALL SECTIONS RIGOROUS ( CHEM. ENG. )
![]() |
![]() |
| (bipartite graph drawing) | (graph drawing of A+A') |
![]() |
![]() |
![]() |
| Matrix properties | |
| number of rows | 479 |
| number of columns | 479 |
| nonzeros | 1,888 |
| structural full rank? | yes |
| structural rank | 479 |
| # of blocks from dmperm | 166 |
| # strongly connected comp. | 2 |
| explicit zero entries | 22 |
| nonzero pattern symmetry | 1% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | A. Westerberg |
| editor | I. Duff, R. Grimes, J. Lewis |
| date | 1983 |
| kind | chemical process simulation problem |
| 2D/3D problem? | no |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 14,819 |
| Cholesky flop count | 1.1e+06 |
| nnz(L+U), no partial pivoting, with AMD | 29,159 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,921 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 7,539 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 22 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 318952 |
| min(svd(A)) | 9.80668e-07 |
| cond(A) | 3.25239e+11 |
| rank(A) | 479 |
| 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.