Extended Hamiltonian Hessenberg Matrices arise in Projection based Model Order Reduction | Zendy

Ferranti Micol | Zendy; Mach Thomas | Zendy; Vandebril Raf | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Extended Hamiltonian Hessenberg Matrices arise in Projection based Model Order Reduction

Author(s) -

Ferranti Micol,

Mach Thomas,

Vandebril Raf

Publication year - 2015

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201510281

Subject(s) - eigenvalues and eigenvectors , krylov subspace , subspace topology , hamiltonian (control theory) , model order reduction , projection (relational algebra) , mathematics , hamiltonian system , reduction (mathematics) , mathematical physics , algorithm , mathematical analysis , physics , mathematical optimization , geometry , iterative method , quantum mechanics

We show that extended Hamiltonian Hessenberg matrices arise naturally in projection‐based model order reduction. Therefore we reduce a large dynamical system by projecting it on an extended Krylov subspace. The eigenvalues of the reduced order model can then be computed directly by applying the extended Hamiltonian QR algorithm. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research