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Journal Articles Journal of Computational and Applied Mathematics Year : 2019

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

Abstract

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.
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Dates and versions

hal-03484587 , version 1 (20-12-2021)

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Attribution - NonCommercial

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A.H. Bentbib, Khalid Jbilou, Yassine Kaouane. An adaptive block tangential method for multi-input multi-output dynamical systems. Journal of Computational and Applied Mathematics, 2019, 358, pp.190 - 205. ⟨10.1016/j.cam.2019.03.014⟩. ⟨hal-03484587⟩
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