%0 Journal Article
%T On Finding a Relative Interior Point of a Polyhedral Set
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Mehdiloo, Mahmood
%D 2021
%\ 06/01/2021
%V 6
%N 2
%P 121-138
%! On Finding a Relative Interior Point of a Polyhedral Set
%K Polyhedral set
%K representing set
%K relative interior point
%K maximal element
%K linear optimization
%R 10.22052/mir.2021.240315.1243
%X 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 contributions 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.
%U https://mir.kashanu.ac.ir/article_111476_5b59eadf492b33d7413b6ae0cbf2c265.pdf