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Reliable Method for the Evaluation of Commuting Matrices
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1998 (English)Report (Other academic)
Abstract [en]

In this paper, we study the characteristics of matrices that commute with a given matrix A. It appears that these are related to the null space of a well-structured matrix. More precisely, any matrix R that commutes with A has its vectorized column in the null space of that well-structured matrix. Hence, the problem of finding such matrix R is equivalent to that of obtaining a representation of a basis for that space. From a numerical point of view, we propose a low cost and robust procedure for computing a basis for the "commuting" null space.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1998. , 9 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2012
Keyword [en]
Matrix commutation, Null space, Kronecker product
Keyword [sv]
Maskinelement Servomekanismer Automation, Algebra Linjär Multilinjär
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55630ISRN: LiTH-ISY-R- 2012OAI: diva2:316281
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-12Bibliographically approved

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Automatic ControlThe Institute of Technology
Control Engineering

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ReferencesLink to record
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