Matrix: Mittelmann/rail2586
Description: Italian railways (H. Mittelmann test set)
(bipartite graph drawing) |
Matrix properties | |
number of rows | 2,586 |
number of columns | 923,269 |
nonzeros | 8,011,362 |
structural full rank? | yes |
structural rank | 2,586 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 8 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | integer |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | P. Nobili |
editor | J. Beasley |
date | 2005 |
kind | linear programming problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 2586-by-1 |
c | full 923269-by-1 |
lo | full 923269-by-1 |
hi | full 923269-by-1 |
z0 | full 1-by-1 |
Notes:
Hans Mittelmann test set, http://plato.asu.edu/ftp/lptestset minimize c'*x, subject to A*x=b and lo <= x <= hi RAIL: set covering problems from the Italian railroad, see http://people.brunel.ac.uk/~mastjjb/jeb/orlib/scpinfo.html
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,052,862,453 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,522,581 |
SVD-based statistics: | |
norm(A) | 496.004 |
min(svd(A)) | 1 |
cond(A) | 496.004 |
rank(A) | 2,586 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
singular values (MAT file): | click here |
SVD method used: | s = svd (full (R)) ; where [~,R,E] = spqr (A') with droptol of zero |
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.