Matrix: GHS_indef/ncvxqp1
Description: Gould, Hu, & Scott: KKT matrix - nonconvex QP (CUTEr)
(undirected graph drawing) |
Matrix properties | |
number of rows | 12,111 |
number of columns | 12,111 |
nonzeros | 73,963 |
structural full rank? | yes |
structural rank | 12,111 |
# of blocks from dmperm | 1 |
# 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 | 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 | 2,222,105 |
Cholesky flop count | 2.2e+09 |
nnz(L+U), no partial pivoting, with AMD | 4,432,099 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 6,506,571 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 14,173,093 |
SVD-based statistics: | |
norm(A) | 7.58021e+12 |
min(svd(A)) | 5.22926e-17 |
cond(A) | 1.44958e+29 |
rank(A) | 7,087 |
sprank(A)-rank(A) | 5,024 |
null space dimension | 5,024 |
full numerical rank? | no |
singular value gap | 1.74456 |
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.