Matrix: Andrianov/ex3sta1
Description: ex3sta1 matrix from Alexander Andrianov, SAS Institute Inc.
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,782 |
number of columns | 16,782 |
nonzeros | 678,998 |
structural full rank? | yes |
structural rank | 16,782 |
# 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 | A. Andrianov |
editor | T. Davis |
date | 2006 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 26,433,573 |
Cholesky flop count | 8.2e+10 |
nnz(L+U), no partial pivoting, with AMD | 52,850,364 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 56,342,358 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 83,494,245 |
SVD-based statistics: | |
norm(A) | 63.9865 |
min(svd(A)) | 2.51841e-19 |
cond(A) | 2.54075e+20 |
rank(A) | 12,102 |
sprank(A)-rank(A) | 4,680 |
null space dimension | 4,680 |
full numerical rank? | no |
singular value gap | 2.13215e+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.