Riccati Diagonalization of Hermitian Matrices

TL;DR

This paper introduces Riccati Diagonalization, a geometric method utilizing Grassmann manifolds and matrix Riccati equations to diagonalize Hermitian matrices.

Contribution

It presents a novel geometric approach for diagonalizing Hermitian matrices using Riccati equations and Grassmann manifolds, expanding the tools available for matrix analysis.

Findings

Provides a new geometric diagonalization technique.

Applicable to Hermitian matrices in various fields.

Potentially more efficient than traditional methods.

Abstract

In this paper a geometric method based on Grassmann manifolds and matrix Riccati equations to make hermitian matrices diagonal is presented. We call it Riccati Diagonalization.