Matrix: GHS_psdef/copter1
Description: Gould, Hu, & Scott: Helicoptor rotor blade, from Pothen & Kumfert
(undirected graph drawing) |
Matrix properties | |
number of rows | 17,222 |
number of columns | 17,222 |
nonzeros | 211,064 |
structural full rank? | yes |
structural rank | 17,222 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | G. Kumfert, A. Pothen |
editor | N. Gould, Y. Hu, J. Scott |
date | 2004 |
kind | computational fluid dynamics problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,337,186 |
Cholesky flop count | 1.1e+09 |
nnz(L+U), no partial pivoting, with AMD | 4,657,150 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 5,886,754 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 14,232,397 |
SVD-based statistics: | |
norm(A) | 15.2599 |
min(svd(A)) | 0.00158395 |
cond(A) | 9634.12 |
rank(A) | 17,222 |
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.