Matrix: Goodwin/goodwin
Description: FEM, fluid mechanics problem. From Ralph Goodwin, Univ. Illinois
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 7,320 |
number of columns | 7,320 |
nonzeros | 324,772 |
structural full rank? | yes |
structural rank | 7,320 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 2 |
explicit zero entries | 12 |
nonzero pattern symmetry | 64% |
numeric value symmetry | 0% |
type | real |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | R. Goodwin |
editor | T. Davis |
date | 1995 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 597,520 |
Cholesky flop count | 7.7e+07 |
nnz(L+U), no partial pivoting, with AMD | 1,187,720 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,416,264 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 4,678,957 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12 explicit zero entries.
SVD-based statistics: | |
norm(A) | 23370.9 |
min(svd(A)) | 1.19428e-06 |
cond(A) | 1.9569e+10 |
rank(A) | 7,320 |
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.