Matrix: Um/offshore
Description: 3D FEM, transient electric field diffusion. Evan Um, Stanford
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| Matrix properties | |
| number of rows | 259,789 |
| number of columns | 259,789 |
| nonzeros | 4,242,673 |
| structural full rank? | yes |
| structural rank | 259,789 |
| # 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? | yes |
| positive definite? | yes |
| author | E. Um |
| editor | T. Davis |
| date | 2010 |
| kind | electromagnetics problem |
| 2D/3D problem? | yes |
| Additional fields | size and type |
| b | full 259789-by-1 |
Notes:
This is a finite-element system matrix deriving from the 3D transient electric field diffusion equation. The matrix results from the discretization of offshore conductivity structures using tetrahedral elements. Evan Um, Geophysics, Stanford.
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 158,143,888 |
| Cholesky flop count | 4.6e+11 |
| nnz(L+U), no partial pivoting, with AMD | 316,027,987 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 392,939,742 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 744,604,111 |
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.