Matrix: GHS_indef/ncvxqp9
Description: Gould, Hu, & Scott: KKT matrix - nonconvex QP (CUTEr)
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,554 |
number of columns | 16,554 |
nonzeros | 54,040 |
structural full rank? | yes |
structural rank | 16,554 |
# of blocks from dmperm | 555 |
# strongly connected comp. | 555 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | N. Gould |
editor | N. Gould |
date | 1994 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 142,666 |
Cholesky flop count | 1.0e+07 |
nnz(L+U), no partial pivoting, with AMD | 268,778 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 360,371 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 680,921 |
SVD-based statistics: | |
norm(A) | 1.2705e+11 |
min(svd(A)) | 3.30002e-08 |
cond(A) | 3.84999e+18 |
rank(A) | 14,617 |
sprank(A)-rank(A) | 1,937 |
null space dimension | 1,937 |
full numerical rank? | no |
singular value gap | 1.00169 |
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.