On normal and structured matrices under unitary structure-preserving transformations

TL;DR

This paper introduces structured canonical forms for various classes of matrices under unitary structure-preserving transformations and sketches an algorithm to compute these forms.

Contribution

It proposes new structured canonical forms for normal and structured matrices under unitary similarity and provides an algorithm for their computation.

Findings

Canonical forms for normal and structured matrices are established.

An algorithm for computing these canonical forms is proposed.

The forms facilitate analysis of structured matrices under unitary transformations.

Abstract

Structured canonical forms under unitary and suitable structure-preserving similarity transformations for normal and (skew-)Hamiltonian as well as normal and per(skew)-Hermitian matrices are proposed. Moreover, an algorithm for computing those canonical forms is sketched.