English

Smoothed Analysis of Interior-Point Algorithms: Condition Number

Data Structures and Algorithms 2025-10-20 v2 Numerical Analysis Numerical Analysis

Abstract

We show that the smoothed complexity of the logarithm of Renegar's condition number is O(log (n/sigma)).

Cite

@article{arxiv.cs/0302011,
  title  = {Smoothed Analysis of Interior-Point Algorithms: Condition Number},
  author = {John Dunagan and Daniel A. Spielman and Shang-Hua Teng},
  journal= {arXiv preprint arXiv:cs/0302011},
  year   = {2025}
}

Comments

Fixed it up quite a bit