Matrix: HB/bcsstk31
Description: STIFFNESS MATRIX FOR AUTOMOBILE COMPONENT (MSC NASTRAN) - PATTERN ONLY
(undirected graph drawing) |
Matrix properties | |
number of rows | 35,588 |
number of columns | 35,588 |
nonzeros | 1,181,416 |
structural full rank? | yes |
structural rank | 35,588 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 2 |
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 | 5,568,754 |
Cholesky flop count | 2.9e+09 |
nnz(L+U), no partial pivoting, with AMD | 11,101,920 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 12,371,674 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 24,526,717 |
SVD-based statistics: | |
norm(A) | 57.9691 |
min(svd(A)) | 3.98742e-234 |
cond(A) | 1.4538e+235 |
rank(A) | 16,803 |
sprank(A)-rank(A) | 18,785 |
null space dimension | 18,785 |
full numerical rank? | no |
singular value gap | 2.84072e+08 |
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.