An upper $J$- Hessenberg reduction of a matrix through symplectic Householder transformations
Numerical Analysis
2016-12-28 v1
Abstract
In this paper, we introduce a reduction of a matrix to a condensed form, the upper - Hessenberg form, via elementary symplectic Householder transformations, which are rank-one modification of the identity . Features of the reduction are highlighted. Two variants numerically more stables are then derived. Some numerical experiments are given, showing the efficiency of these variants.
Keywords
Cite
@article{arxiv.1612.08707,
title = {An upper $J$- Hessenberg reduction of a matrix through symplectic Householder transformations},
author = {Ahmed Salam and Haithem Ben Kahla},
journal= {arXiv preprint arXiv:1612.08707},
year = {2016}
}