English

Quantitative version of a Silverstein's result

Probability 2017-08-29 v1

Abstract

We prove a quantitative version of a Silverstein's Theorem on a condition for convergence in probability of the norm of random matrix. More precisely, we show that for a random matrix whose entries are i.i.d. random variables, wi,jw_{i,j}, satisfying certain natural conditions, is not small with large probability.

Keywords

Cite

@article{arxiv.1708.08102,
  title  = {Quantitative version of a Silverstein's result},
  author = {Alexander Litvak and Susanna Spektor},
  journal= {arXiv preprint arXiv:1708.08102},
  year   = {2017}
}
R2 v1 2026-06-22T21:24:35.112Z