English

A Study on the Algorithm and Implementation of SDPT3

Optimization and Control 2026-01-01 v1

Abstract

This technical report presents a comprehensive study of SDPT3, a widely used open-source MATLAB solver for semidefinite-quadratic-linear programming, which is based on the interior-point method. It includes a self-contained and consistent description of the algorithm, with mathematical notation carefully aligned with the implementation. The aim is to offer a clear and structured reference for researchers and developers seeking to understand or build upon the implementation of SDPT3.

Keywords

Cite

@article{arxiv.2512.24623,
  title  = {A Study on the Algorithm and Implementation of SDPT3},
  author = {Naoki Ito},
  journal= {arXiv preprint arXiv:2512.24623},
  year   = {2026}
}

Comments

34 pages

R2 v1 2026-07-01T08:46:32.715Z