English

Quantitative invertibility of non-Hermitian random matrices

Probability 2022-06-02 v1

Abstract

The problem of estimating the smallest singular value of random square matrices is important in connection with matrix computations and analysis of the spectral distribution. In this survey, we consider recent developments in the study of quantitative invertibility in the non-Hermitian setting, and review some applications of this line of research.

Keywords

Cite

@article{arxiv.2206.00601,
  title  = {Quantitative invertibility of non-Hermitian random matrices},
  author = {Konstantin Tikhomirov},
  journal= {arXiv preprint arXiv:2206.00601},
  year   = {2022}
}

Comments

A short survey for ICM 2022 proceedings

R2 v1 2026-06-24T11:36:11.422Z