Matrix: Boeing/pcrystk02
Description: FEM CRYSTAL FREE VIBRATION STIFFNESS MATRIX
(undirected graph drawing) |
Matrix properties | |
number of rows | 13,965 |
number of columns | 13,965 |
nonzeros | 968,583 |
structural full rank? | yes |
structural rank | 13,965 |
# 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. Grimes |
editor | T. Davis |
date | 1995 |
kind | duplicate materials problem |
2D/3D problem? | yes |
Notes:
This matrix is the nonzero pattern of Boeing/crystk02
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 6,118,928 |
Cholesky flop count | 4.5e+09 |
nnz(L+U), no partial pivoting, with AMD | 12,223,891 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 5,340,099 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 10,693,425 |
SVD-based statistics: | |
norm(A) | 76.0444 |
min(svd(A)) | 2.66037e-82 |
cond(A) | 2.85841e+83 |
rank(A) | 4,624 |
sprank(A)-rank(A) | 9,341 |
null space dimension | 9,341 |
full numerical rank? | no |
singular value gap | 4.61781e+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.