Open Access Open Access  Restricted Access Subscription or Fee Access

New symplectic transformations: Symplectic reflector on C2n_2

S. Agoujil, A.H. Bentbib

Abstract


The aim of this paper is to describe new symplectic complex transformations based on symplectic reflectors in C2n_2. Our idea is to work on C2n_2 as free module on the ring K=C2n_2 instead of a vector space structure on C2n. This transformations are defined in parallel with the classical elementary reflectors. Interesting properties allow us to construct new algorithms for computing an SR factorization. Some numerical experiments are given.

Keywords


SR decompositions -Indefinite symplectic inner product - Symplectic reflector -Symplectic Householder

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.