Bounds on the determinant of an exponential matrix

TL;DR

This paper establishes bounds on the determinant of exponential matrices, which are also applicable to Gaussian matrices, providing theoretical limits useful in matrix analysis.

Contribution

It introduces new bounds on exponential matrix determinants and relates them to Gaussian matrix determinants, advancing theoretical understanding.

Findings

Derived upper and lower bounds for exponential matrix determinants

Transformed bounds into Gaussian matrix determinant bounds

Provides theoretical tools for matrix analysis

Abstract

We derive upper and lower bounds on the determinant of an exponential matrix. They can be transformed into corresponding bounds for the determinant of a univariate Gaussian matrix.