A generalization of a trace inequality for positive definite matrices

TL;DR

This paper extends a known trace inequality for positive definite matrices to cases involving an arbitrary number of terms, broadening its applicability in matrix analysis.

Contribution

It generalizes a specific trace inequality to include any number of terms, enhancing its theoretical scope.

Findings

The generalized inequality applies to an arbitrary number of matrices.

It provides a broader framework for matrix trace inequalities.

Potential applications in matrix analysis and related fields.

Abstract

In this note we generalize the trace inequality derived by [1] to the case where the number of terms of the sum (denoted by K) is arbitrary.