Title of article
On Finding a Relative Interior Point of a Polyhedral Set
Author/Authors
Mehdiloo, Mahmood Department of Mathematics and Applications - University of Mohaghegh Ardabili, Ardabil, Iran
Pages
18
From page
121
To page
138
Abstract
This paper proposes a new linear program for finding a relative interior
point of a polyhedral set. Based on characterizing the relative interior of a
polyhedral set through its polyhedral representing sets, two main contribu-
tions are made. First, we complete the existing results in the literature that
require the non-negativity of the given polyhedral set. Then, we deal with
the general case where this requirement may not be met.
Keywords
polyhedral set , representing set , relative interior point , maximal ele- ment , linear optimization
Journal title
Control and Optimization in Applied Mathematics
Serial Year
2021
Record number
2706147
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