Physical interpretation for the arithmetic-harmonic mean of several positive definite matrices

Abstract EN

Matrix means arises in various contexts and contributes as a tool for solving many important problems.

It has been proved to be a useful contrivance from the theoretical viewpoint as well as for practical purposes.

In this article, we introduce the p-arithmetic-harmonic mean of several positive definite matrices and study its properties.

This work will be completed by a physical interpretation of this matrix mean together with some numerical examples.