Matrix: Gupta/gupta3
Description: Linear programming matrix (A*A'), Anshul Gupta, anshul@watson.ibm.com
(undirected graph drawing) |
Matrix properties | |
number of rows | 16,783 |
number of columns | 16,783 |
nonzeros | 9,323,427 |
structural full rank? | yes |
structural rank | 16,783 |
# 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. Gupta |
editor | T. Davis |
date | 1996 |
kind | optimization problem |
2D/3D problem? | no |
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 5,448,835 |
Cholesky flop count | 2.2e+09 |
nnz(L+U), no partial pivoting, with AMD | 10,880,887 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 40,166,044 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 140,341,980 |
SVD-based statistics: | |
norm(A) | 1540.61 |
min(svd(A)) | 2.0866e-33 |
cond(A) | 7.38336e+35 |
rank(A) | 2,881 |
sprank(A)-rank(A) | 13,902 |
null space dimension | 13,902 |
full numerical rank? | no |
singular value gap | 7.3157e+07 |
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.