| Matrix properties | |
| number of rows | 2,053 |
| number of columns | 2,053 |
| nonzeros | 18,447 |
| structural full rank? | yes |
| structural rank | 2,053 |
| # of blocks from dmperm | 1 |
| # strongly connected comp. | 1 |
| entries not in dmperm blocks | 0 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | 50% |
| numeric value symmetry | 0% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | B. Muite |
| editor | T. Davis |
| date | 2007 |
| kind | structural problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 2053-by-1 |
Notes:
Chebyshev integration matrix from Benson Muite, Oxford. Details of the matrices can be found in a preprint at http://www.maths.ox.ac.uk/~muite entitled "A comparison of Chebyshev methods for solving fourth-order semilinear initial boundary value problems," June 2007. These matrices are very ill-conditioned, partly because of the dense rows which are hard to scale when coupled with the rest of the matrix.
| Ordering statistics: | AMD | METIS |
| nnz(chol(P*(A+A'+s*I)*P')) | 14,347 | 18,822 |
| Cholesky flop count | 1.0e+05 | 1.7e+05 |
| nnz(L+U), no partial pivoting | 26,641 | 35,591 |
| nnz(V) for QR, upper bound nnz(L) for LU | 10,253 | 10,253 |
| nnz(R) for QR, upper bound nnz(U) for LU | 2,108,431 | 2,108,431 |
Maintained by Tim Davis, last updated 04-May-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.