Matrix: Boeing/crystk01
Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX
(undirected graph drawing) |
Matrix properties | |
number of rows | 4,875 |
number of columns | 4,875 |
nonzeros | 315,891 |
structural full rank? | yes |
structural rank | 4,875 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | no |
author | R. Grimes |
editor | T. Davis |
date | 1995 |
kind | materials problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 960,811 |
Cholesky flop count | 2.6e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,916,747 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,067,304 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 2,148,267 |
SVD-based statistics: | |
norm(A) | 3.4743e-10 |
min(svd(A)) | 1.75648e-26 |
cond(A) | 1.97799e+16 |
rank(A) | 4,869 |
sprank(A)-rank(A) | 6 |
null space dimension | 6 |
full numerical rank? | no |
singular value gap | 2.6447e+09 |
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.