Matrix: Goodwin/rim
Description: FEM, fluid mechanics problem. From Ralph Goodwin, Univ. Illinois
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 22,560 |
number of columns | 22,560 |
nonzeros | 1,014,951 |
structural full rank? | yes |
structural rank | 22,560 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 2 |
explicit zero entries | 0 |
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 | 1,927,907 |
Cholesky flop count | 2.6e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,833,254 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 4,940,213 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 16,753,049 |
SVD-based statistics: | |
norm(A) | 82346.3 |
min(svd(A)) | 9.29177e-18 |
cond(A) | 8.86228e+21 |
rank(A) | 22,479 |
sprank(A)-rank(A) | 81 |
null space dimension | 81 |
full numerical rank? | no |
singular value gap | 1.00668 |
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.