Open Access Open Access  Restricted Access Subscription or Fee Access

Symplectic Modified Gram-Schmidt as A Symplectic Householder SR Factorization

S. Agoujil, A. H. bentbib

Abstract


Symplectic SR factorization play a key role in solving the continuous-time algebraic Riccati equation and specially problem of computing the eigenvalues of Hamiltonian matrices. The goal of this paper is to describe an essential role of symplectic complex transformation based on symplectic Householder transformation in SR factorization. We treat proof which shows that a Symplectic Modified Gram-Schmidt process applied to a 2m-by-2n complex matrix can be interpreted as a Symplectic Householder SR factorization of the augmented matrix. Some numerical experiments are given.

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.