An adaptive block tangential method for multi-input multi-output dynamical systems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:358

Article

Bentbib, A. H.¹  Jbilou, K.²  Kaouane, Y.^1,2 

[1] Fac Sci & Tech Gueliz, Lab Math Appl & Informat, Marrakech, Morocco

[2] Univ Littoral Cote dOpale, Lab Math Pures & Appl, 50 Rue F Buisson,BP 699, F-62228 Calais, France

关键词: Block Arnoldi;    Krylov subspaces;    Model reduction;    Tangential directions;   

DOI  :  10.1016/j.cam.2019.03.014

来源: Elsevier

【 摘 要 】

In this paper, we present a new approach for model order reduction in large-scale dynamical systems, with multiple inputs and multiple outputs (MIMO). This approach will be named: Adaptive Block Tangential Arnoldi Algorithm (ABTAA) and is based on interpolation via block tangential Krylov subspaces requiring the selection of shifts and tangent directions via an adaptive procedure. We give some algebraic properties and present some numerical examples to show the effectiveness of the proposed method. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free