Matrix: Boeing/msc23052
Description: SYMMETRIC TEST MATRIX FROM MSC/NASTRAN SHOCKF8.OUT2
(undirected graph drawing) |
Matrix properties | |
number of rows | 23,052 |
number of columns | 23,052 |
nonzeros | 1,142,686 |
structural full rank? | yes |
structural rank | 23,052 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 12,128 |
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 | 2,777,057 |
Cholesky flop count | 6.3e+08 |
nnz(L+U), no partial pivoting, with AMD | 5,531,062 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 7,670,285 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 15,776,044 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 12128 explicit zero entries.
SVD-based statistics: | |
norm(A) | 7.10158e+08 |
min(svd(A)) | 0.000955374 |
cond(A) | 7.43329e+11 |
rank(A) | 23,020 |
sprank(A)-rank(A) | 32 |
null space dimension | 32 |
full numerical rank? | no |
singular value gap | 1.03425 |
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.