Matrix: HB/bcsstk33
Description: STIFFNESS MATRIX FOR PIN BOSS (AUTO STEERING COMPONENT), SOLID ELEMENTS
(undirected graph drawing) |
Matrix properties | |
number of rows | 8,738 |
number of columns | 8,738 |
nonzeros | 591,904 |
structural full rank? | yes |
structural rank | 8,738 |
# 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. Cigel, R. Grimes, J. Lewis, E. Meyer |
editor | I. Duff, R. Grimes, J. Lewis |
date | 1986 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 2,571,296 |
Cholesky flop count | 1.2e+09 |
nnz(L+U), no partial pivoting, with AMD | 5,133,854 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 2,710,720 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 7,110,874 |
SVD-based statistics: | |
norm(A) | 75.8273 |
min(svd(A)) | 5.12721e-64 |
cond(A) | 1.47892e+65 |
rank(A) | 3,979 |
sprank(A)-rank(A) | 4,759 |
null space dimension | 4,759 |
full numerical rank? | no |
singular value gap | 6.7765e+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.