Reliable Method for the Evaluation of Commuting Matrices
1998 (English)Report (Other academic)
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
Matrix commutation, Null space, Kronecker product
Maskinelement Servomekanismer Automation, Algebra Linjär Multilinjär
IdentifiersURN: urn:nbn:se:liu:diva-55630ISRN: LiTH-ISY-R- 2012OAI: oai:DiVA.org:liu-55630DiVA: diva2:316281