Computation of the iterated Aluthge, Duggal, and Mean transforms

Abstract

In this paper, we regard the computation of the Aluthge, Duggal, and Mean transforms of $n\times n$ matrices using the singular valued decomposition. Moreover, we provide Examples 2.7 and 2.8 to illustrate the benefits of the main results.
From the observations using Python, we know that the iterated Aluthge and Mean transforms of the matrices become normal. However, the iterated Duggal transform of the matrices may not be normal.