Title
A Modified Infeasible-Interior-Point Algorithm for Linear Optimization Problems
Abstract
In this paper, we present an improved version of the infeasible-interior-point method for linear optimization introduced by Roos (SIAM J Optim 16(4):1110–1136, 2006). Each main step of Roos’s algorithm is composed of one feasibility step and several centering steps. By using a new search direction, we prove that it is enough to take only one step in order to obtain a polynomial-time method. The iteration bound coincides with the currently best iteration bound for linear optimization problems.
Year
DOI
Venue
2015
10.1007/s10957-015-0719-7
Journal of Optimization Theory and Applications
Keywords
Field
DocType
Infeasible-interior-point method, Central path, Search directions, Full-Newton step, Perturbed problems, 90C05, 90C51
Mathematical optimization,Algorithm,Linear programming,Interior point method,Mathematics
Journal
Volume
Issue
ISSN
166
2
1573-2878
Citations 
PageRank 
References 
2
0.37
8
Authors
3
Name
Order
Citations
PageRank
Hossein Mansouri193.26
Maryam Zangiabadi2406.07
M. Arzani320.37