Matrix: Boeing/nasa4704
Description: STRUCTURE FROM NASA LANGLEY, 4704 DEGREES OF FREEDOM
(undirected graph drawing) |
Matrix properties | |
number of rows | 4,704 |
number of columns | 4,704 |
nonzeros | 104,756 |
structural full rank? | yes |
structural rank | 4,704 |
# 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 structural problem |
2D/3D problem? | yes |
Notes:
Boeing/nasa4704 is the nonzero pattern of Nasa/nasa4704.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 283,225 |
Cholesky flop count | 3.7e+07 |
nnz(L+U), no partial pivoting, with AMD | 561,746 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 671,166 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,320,652 |
SVD-based statistics: | |
norm(A) | 27.0805 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 2,264 |
sprank(A)-rank(A) | 2,440 |
null space dimension | 2,440 |
full numerical rank? | no |
singular value gap | 2.33125e+11 |
singular values (MAT file): | click here |
SVD method used: | s = piro_band_svd (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.