Matrix: GHS_psdef/pds10
Description: Gould, Hu, & Scott: Netlib PDS10 problem, A*A' (see LPnetlib/lp_pds_10)
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,558 |
number of columns | 16,558 |
nonzeros | 149,658 |
structural full rank? | yes |
structural rank | 16,558 |
# 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 | J. Kennington |
editor | G. Kumfert, A. Pothen |
date | 2004 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 1,605,971 |
Cholesky flop count | 9.2e+08 |
nnz(L+U), no partial pivoting, with AMD | 3,195,384 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 12,343,582 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 21,897,560 |
SVD-based statistics: | |
norm(A) | 17.0335 |
min(svd(A)) | 2.22514e-18 |
cond(A) | 7.65503e+18 |
rank(A) | 16,519 |
sprank(A)-rank(A) | 39 |
null space dimension | 39 |
full numerical rank? | no |
singular value gap | 2.79877e+11 |
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.