Matrix: TKK/cyl6
Description: Cylindrical shell, non-linear analysis, 3 RHS vectors at step 6. R Kouhia
(undirected graph drawing) |
Matrix properties | |
number of rows | 13,681 |
number of columns | 13,681 |
nonzeros | 714,241 |
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 | integer |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | R. Kouhia |
editor | T. Davis |
date | 2008 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 13681-by-3 |
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 | 1,617,535 |
Cholesky flop count | 2.7e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,221,389 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,302,305 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 14,813,011 |
SVD-based statistics: | |
norm(A) | 321.97 |
min(svd(A)) | 1.42335e-113 |
cond(A) | 2.26206e+115 |
rank(A) | 2,243 |
sprank(A)-rank(A) | 11,438 |
null space dimension | 11,438 |
full numerical rank? | no |
singular value gap | 5.9994e+10 |
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.