Matrix: LPnetlib/lpi_ceria3d
Description: Netlib LP problem ceria3d: minimize c'*x, where Ax=b, lo<=x<=hi
(bipartite graph drawing) |
Matrix properties | |
number of rows | 3,576 |
number of columns | 4,400 |
nonzeros | 21,178 |
structural full rank? | yes |
structural rank | 3,576 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | integer |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | E. Klotz |
editor | J. Chinneck |
date | |
kind | linear programming problem |
2D/3D problem? | no |
Additional fields | size and type |
b | full 3576-by-1 |
c | full 4400-by-1 |
lo | full 4400-by-1 |
hi | full 4400-by-1 |
z0 | full 1-by-1 |
Notes:
An infeasible Netlib LP problem, in lp/infeas. For more information send email to netlib@ornl.gov with the message: send index from lp send readme from lp/infeas The lp/infeas directory contains infeasible linear programming test problems collected by John W. Chinneck, Carleton Univ, Ontario Canada. The following are relevant excerpts from lp/infeas/readme (by John W. Chinneck): PROBLEM DESCRIPTION ------------------- CERIA3D: large problem which has some peculiarities. There are no column bounds, and it is highly degenerate. Contributor: Ed Klotz, CPLEX Optimization Inc. Name Rows Cols Nonzeros Bounds Notes ceria3d 3577 824 17604 B FR dense col (> 967)
Ordering statistics: | result |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 1,596,060 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 3,680,015 |
SVD-based statistics: | |
norm(A) | 47.7319 |
min(svd(A)) | 1 |
cond(A) | 47.7319 |
rank(A) | 3,576 |
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 (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.