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Abstract

Some efficient interior-point methods (IPMs) are based on using a self-concordant barrier function related to the feasibility set of the underlying problem.
Here, we use IPMs for solving fractional programming problems involving second order cone constraints. We propose a logarithmic barrier function to show the self concordant property and present an algorithm to compute $\varepsilon-$solution of a fractional programming problem. Finally, we provide a numerical example to illustrate the approach.

Keywords

Fractional programming Self concordant Logarithm barrier function

Article Details

Author Biographies

Mansour Saraj, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Iran.

Department of Mathematics.

Nezam Mahdavi Amiri, Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

Mathematics

How to Cite
Saraj, M., Sadeghi, A., & Mahdavi Amiri, N. (2021). A Full-Newton Step Interior Point Method for Fractional Programming Problem Involving Second Order Cone Constraint. Pakistan Journal of Statistics and Operation Research, 17(2), 427-433. https://doi.org/10.18187/pjsor.v17i2.2431