Matrix: Li/li
Description: 3D Finite element matrix, magnetohydrodynamic problem with 5 variables
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| Matrix properties | |
| number of rows | 22,695 |
| number of columns | 22,695 |
| nonzeros | 1,215,181 |
| structural full rank? | yes |
| structural rank | 22,695 |
| # of blocks from dmperm | 4 |
| # strongly connected comp. | 4 |
| explicit zero entries | 135,128 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | 87% |
| type | real |
| structure | unsymmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | B. Li |
| editor | T. Davis |
| date | 1999 |
| kind | electromagnetics problem |
| 2D/3D problem? | yes |
| Ordering statistics: | result |
| nnz(chol(P*(A+A'+s*I)*P')) with AMD | 30,408,095 |
| Cholesky flop count | 7.9e+10 |
| nnz(L+U), no partial pivoting, with AMD | 60,793,495 |
| nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 33,668,257 |
| nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 56,815,640 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 135128 explicit zero entries.
| SVD-based statistics: | |
| norm(A) | 4.35984e+08 |
| min(svd(A)) | 3.57095e-06 |
| cond(A) | 1.22092e+14 |
| rank(A) | 22,640 |
| sprank(A)-rank(A) | 55 |
| null space dimension | 55 |
| full numerical rank? | no |
| singular value gap | 1.02609 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
| 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.