Matrix: Simon/raefsky4
Description: BUCKLING PROBLEM FOR CONTAINER MODEL, ARTHUR RAEFSKY, CENTRIC ENG.
(undirected graph drawing) |
Matrix properties | |
number of rows | 19,779 |
number of columns | 19,779 |
nonzeros | 1,316,789 |
structural full rank? | yes |
structural rank | 19,779 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 11,822 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | A. Raefsky |
editor | H. Simon |
date | 1993 |
kind | structural problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 19779-by-1 |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 7,304,797 |
Cholesky flop count | 5.3e+09 |
nnz(L+U), no partial pivoting, with AMD | 14,589,815 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 10,855,761 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 21,141,725 |
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 11822 explicit zero entries.
SVD-based statistics: | |
norm(A) | 2.66694e+11 |
min(svd(A)) | 0.0085203 |
cond(A) | 3.1301e+13 |
rank(A) | 19,771 |
sprank(A)-rank(A) | 8 |
null space dimension | 8 |
full numerical rank? | no |
singular value gap | 1.10382 |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero |
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.