Matrix: Meszaros/pf2177
Description: linear programming problem, C. Meszaros test set
(bipartite graph drawing) |
Matrix properties | |
number of rows | 9,728 |
number of columns | 10,178 |
nonzeros | 30,984 |
structural full rank? | yes |
structural rank | 9,728 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 271 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | binary |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | |
editor | C. Meszaros |
date | 2004 |
kind | linear programming problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 9728-by-1 |
c | full 10178-by-1 |
lo | full 10178-by-1 |
hi | full 10178-by-1 |
z0 | full 1-by-1 |
Notes:
http://www.sztaki.hu/~meszaros/public_ftp/lptestset Converted to standard form via Resende and Veiga's mpsrd: minimize c'*x, subject to A*x=b and lo <= x <= hi
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,032,468 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 12,386,025 |
SVD-based statistics: | |
norm(A) | 9.75131 |
min(svd(A)) | 9.67072e-16 |
cond(A) | 1.00833e+16 |
rank(A) | 9,662 |
sprank(A)-rank(A) | 66 |
null space dimension | 66 |
full numerical rank? | no |
singular value gap | 1.71296e+13 |
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.