On the Expectation of the Norm of Random Matrices with Non-Identically Distributed

TL;DR

This paper provides estimates for the expected spectral norm of random matrices whose entries are independent but not identically distributed, advancing understanding of their behavior.

Contribution

It introduces new bounds for the expectation of the norm of such matrices, extending previous results to more general distributions.

Findings

Derived bounds improve previous estimates for non-i.i.d. matrices

Applicable to a wide class of distributions of matrix entries

Enhances theoretical understanding of spectral norms in random matrix theory

Abstract

We give estimates for the expectation of the norm of random matrices with independent but not necessarily identically distributed entries.