LPnetlib/lpi_ex72a
Netlib LP problem ex72a: minimize c'*x, where Ax=b, lo<=x<=hi
| Name |
lpi_ex72a |
| Group |
LPnetlib |
| Matrix ID |
712 |
|
Num Rows
|
197 |
|
Num Cols
|
215 |
|
Nonzeros
|
467 |
|
Pattern Entries
|
467 |
|
Kind
|
Linear Programming Problem |
|
Symmetric
|
No |
|
Date
|
1992 |
|
Author
|
Z. You |
|
Editor
|
J. Chinneck |
| Structural Rank |
197 |
| Structural Rank Full |
true |
|
Num Dmperm Blocks
|
1 |
|
Strongly Connect Components
|
1 |
|
Num Explicit Zeros
|
0 |
|
Pattern Symmetry
|
0% |
|
Numeric Symmetry
|
0% |
|
Cholesky Candidate
|
no |
|
Positive Definite
|
no |
|
Type
|
integer |
| SVD Statistics |
| Matrix Norm |
2.928751e+00 |
| Minimum Singular Value |
3.751962e-16 |
| Condition Number |
7.805918e+15
|
| Rank |
192 |
| sprank(A)-rank(A) |
5 |
| Null Space Dimension |
5 |
| Full Numerical Rank? |
no |
| Download Singular Values |
MATLAB
|
| Download |
MATLAB
Rutherford Boeing
Matrix Market
|
| 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):
In the following, IIS stands for Irreducible Infeasible Subsystem, a set
of constraints which is itself infeasible, but becomes feasible when any
one member is removed. Isolating an IIS from within the larger set of
constraints defining the model is one analysis approach.
PROBLEM DESCRIPTION
-------------------
BOX1, EX72A, EX73A: medium problems derived from research on using the
infeasibility version of viability analysis [Chinneck 1992] to analyze
petri net models. All three problems are volatile, showing IISs of
widely differing size depending on the algorithm applied. Contributor:
Zhengping You, Carleton University.
Name Rows Cols Nonzeros Bounds Notes
ex72a 198 215 682 B all cols are LO bounded
REFERENCES
----------
J.W. Chinneck (1992). "Viability Analysis: A Formulation Aid for All
Classes of Network Models", Naval Research Logistics, Vol. 39, pp.
531-543.
Added to Netlib on Sept. 19, 1993
|
