Matrix: HB/lock2232
Description: FINITE ELEMENT PROBLEM. LOCKHEED TOWER PROBLEM
(undirected graph drawing) |
Matrix properties | |
number of rows | 2,232 |
number of columns | 2,232 |
nonzeros | 80,352 |
structural full rank? | no |
structural rank | 2,208 |
# of blocks from dmperm | 3 |
# strongly connected comp. | 25 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | W. Loden |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1980 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 80,364 |
Cholesky flop count | 3.4e+06 |
nnz(L+U), no partial pivoting, with AMD | 158,496 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 108,834 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 240,276 |
SVD-based statistics: | |
norm(A) | 40.3553 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 368 |
sprank(A)-rank(A) | 1,840 |
null space dimension | 1,864 |
full numerical rank? | no |
singular value gap | 4.88465e+11 |
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.