Low-Rank Alternating Direction Implicit Iteration in pyMOR

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Abstract: The low-rank alternating direction implicit (LR-ADI) iteration is an effective method for solving large-scale Lyapunov equations. In the software library pyMOR, solutions to Lyapunov equations play an important role when reducing a model using the balanced truncation method. In this article we introduce the LR-ADI iteration as well as pyMOR, while focusing on its features which are relevant for integrating the iteration into the library. We compare the run time of the iteration's pure pyMOR implementation with those achieved by external libraries available within the pyMOR framework. https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/420

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Low-Rank Alternating Direction Implicit Iteration in pyMOR ; volume:2 ; number:1 ; day:14 ; month:02 ; year:2020
GAMM archive for students ; 2, Heft 1 (14.02.2020)

Creator: Balicki, Linus

DOI: 10.14464/gammas.v2i1.420

URN: urn:nbn:de:101:1-2023032817343464862452

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 11:01 AM CEST

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Balicki, Linus

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Low-Rank Alternating Direction Implicit Iteration in pyMOR

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Other Objects (12)

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