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 
3.751962e16 
Condition Number 
7.805918e+15

Rank 
192 
sprank(A)rank(A) 
5 
Null Space Dimension 
5 
Full Numerical Rank? 
no 
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MATLAB

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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.
531543.
Added to Netlib on Sept. 19, 1993
