Matrix: TKK/tube1
Description: Tube problem from R. Kouhia
(undirected graph drawing) |
Matrix properties | |
number of rows | 21,498 |
number of columns | 21,498 |
nonzeros | 897,056 |
structural full rank? | yes |
structural rank | 21,498 |
# 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 | R. Kouhia |
editor | T. Davis |
date | 2008 |
kind | structural problem |
2D/3D problem? | yes |
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 | 2,258,376 |
Cholesky flop count | 4.7e+08 |
nnz(L+U), no partial pivoting, with AMD | 4,495,254 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,666,632 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 12,131,864 |
SVD-based statistics: | |
norm(A) | 43.2572 |
min(svd(A)) | 3.1895e-204 |
cond(A) | 1.35624e+205 |
rank(A) | 3,583 |
sprank(A)-rank(A) | 17,915 |
null space dimension | 17,915 |
full numerical rank? | no |
singular value gap | 1.00123e+10 |
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.