A Simple Algorithm for Constructing all Real Hessenberg Unitary Matrices
Functional Analysis
2011-11-11 v1
Abstract
Unitary matrices which are zero below the secondary diagonal (Hessenberg unitary matrices) have many uses in analysis. Given a set of needed conditions on a unitary matrix, this algorithm will give the sparsest unitary matrix. We give an algorithm for constructing all real Hessenberg unitary matrices. The unitary matrices given by the algorithm have variables which can be chosen to give additional properties needed for a particular application.
Keywords
Cite
@article{arxiv.1111.2435,
title = {A Simple Algorithm for Constructing all Real Hessenberg Unitary Matrices},
author = {Janet C. Tremain},
journal= {arXiv preprint arXiv:1111.2435},
year = {2011}
}