@techreport{roy2018on,
author = {Roy, Scott and Xiao, Lin},
title = {On self-concordant barriers for generalized power cones},
year = {2018},
month = {January},
abstract = {In the study of interior-point methods for nonsymmetric conic optimization and their applications, Nesterov introduced the power cone, together with a 4-self-concordant barrier for it. In his PhD thesis, Chares found an improved 3-self-concordant barrier for the power cone. In addition, he introduced the generalized power cone, and conjectured a nearly optimal self-concordant barrier for it. In this short note, we prove Chares' conjecture. As a byproduct of our analysis, we derive a self-concordant barrier for a high-dimensional nonnegative power cone.},
url = {http://approjects.co.za/?big=en-us/research/publication/on-self-concordant-barriers-for-generalized-power-cones/},
number = {MSR-TR-2018-3},
}