Exploiting structure in large-scale electrical circuit and power system problems
type: Item
instance of: scholarly article
title: Exploiting structure in large-scale electrical circuit and power system problems
zbMATH Open document ID: 1185.93010
author: J. Rommes
author: Nelson Martins
published in: Linear Algebra and its Applications
publication date: 2009-06-23T00:00:00Z
review text: The rapid increase in complexity of systems such as electrical circuits and power systems calls for the development of efficient numerical methods. In many cases, direct application of standardized methods for numerical problems is computationally not feasible or inefficient. However, the performance of such methods can be improved considerably by taking into account the structure of the underlying problem. In this paper, we describe when and how this -- mathematical and/or physical -- structure can be exploited to arrive at efficient algorithms that also suffer less from other numerical issues such as round-off errors. Eigenvalue and stability problems are considered in particular, but applications to other problems are shown as well.
reviewed by: Nina Shokina
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 93B11
zbMATH DE Number: 5568997
zbMATH Keywords: eigenvalues
zbMATH Keywords: large-scale eigenvalue problems
zbMATH Keywords: poles
zbMATH Keywords: small-signal stability
zbMATH Keywords: model order reduction
zbMATH Keywords: Arnoldi method
zbMATH Keywords: Jacobi-Davidson method
describes a project that uses: eigs
describes a project that uses: JDQR
describes a project that uses: ARPACK
describes a project that uses: QDPA
describes a project that uses: DPA_TDEFL
describes a project that uses: Matlab
describes a project that uses: PMTBR
describes a project that uses: IRAM
MaRDI profile type: Publication
full work available at URL: j.laa.2008.12.027
OpenAlex ID: W2054048860
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DOI: 10.1016/J.LAA.2008.12.027
description: scientific article; zbMATH DE number 5568997