Matrix: TKK/cbuckle
Description: Compressed cylindrical shell buckling; stiffness mtx K and initial stress G
(undirected graph drawing) |
Matrix properties | |
number of rows | 13,681 |
number of columns | 13,681 |
nonzeros | 676,515 |
structural full rank? | yes |
structural rank | 13,681 |
# 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 | R. Kouhia |
editor | T. Davis |
date | 2008 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
G | sparse 13681-by-13681 |
Notes:
Matrix problems from Reijo Kouhia, Structural Mechanics, Helsinki University of Technology. http://users.tkk.fi/~kouhia/sparse.html
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,354,457 |
Cholesky flop count | 6.3e+08 |
nnz(L+U), no partial pivoting, with AMD | 4,695,233 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,192,824 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 13,662,187 |
SVD-based statistics: | |
norm(A) | 72236.1 |
min(svd(A)) | 0.00218955 |
cond(A) | 3.29913e+07 |
rank(A) | 13,681 |
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.