Matrix: Boeing/bcsstk38
Description: STIFFNESS MATRIX, AIRPLANE ENGINE COMPONENT
(undirected graph drawing) |
Matrix properties | |
number of rows | 8,032 |
number of columns | 8,032 |
nonzeros | 355,460 |
structural full rank? | yes |
structural rank | 8,032 |
# 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? | yes |
author | R. Grimes |
editor | T. Davis |
date | 1995 |
kind | structural problem |
2D/3D problem? | yes |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 736,620 |
Cholesky flop count | 1.2e+08 |
nnz(L+U), no partial pivoting, with AMD | 1,465,208 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,467,968 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,072,801 |
SVD-based statistics: | |
norm(A) | 4.04231e+11 |
min(svd(A)) | 7.32751e-06 |
cond(A) | 5.51661e+16 |
rank(A) | 8,008 |
sprank(A)-rank(A) | 24 |
null space dimension | 24 |
full numerical rank? | no |
singular value gap | 1.28486 |
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.