Matrix: GHS_indef/dtoc
Description: Gould, Hu, & Scott: discrete-time optimal control (CUTEr)
(undirected graph drawing) |
Matrix properties | |
number of rows | 24,993 |
number of columns | 24,993 |
nonzeros | 69,972 |
structural full rank? | no |
structural rank | 19,994 |
# of blocks from dmperm | 2 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | T. Coleman, A. Liao |
editor | P. Toint |
date | 1992 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 74,971 |
Cholesky flop count | 2.3e+05 |
nnz(L+U), no partial pivoting, with AMD | 124,949 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 25,024,990 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 94,958 |
SVD-based statistics: | |
norm(A) | 2 |
min(svd(A)) | 1.04459e-20 |
cond(A) | 1.91462e+20 |
rank(A) | 19,994 |
sprank(A)-rank(A) | 0 |
null space dimension | 4,999 |
full numerical rank? | no |
singular value gap | 4.99398e+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.