Matrix: GHS_psdef/finance256
Description: Gould, Hu, & Scott: linear programming problem from Pothen & Kumfert
(undirected graph drawing) |
Matrix properties | |
number of rows | 37,376 |
number of columns | 37,376 |
nonzeros | 298,496 |
structural full rank? | yes |
structural rank | 37,376 |
# 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. Berger, J. Mulvey, E. Rothberg, R. Vanderbei |
editor | N. Gould, Y. Hu, J. Scott |
date | 1997 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,704,398 |
Cholesky flop count | 6.2e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,371,420 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 3,628,213 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 7,857,994 |
SVD-based statistics: | |
norm(A) | 13.7416 |
min(svd(A)) | 2.4252e-23 |
cond(A) | 5.66615e+23 |
rank(A) | 35,822 |
sprank(A)-rank(A) | 1,554 |
null space dimension | 1,554 |
full numerical rank? | no |
singular value gap | 8.49666e+09 |
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.