Transformations between some special matrices

Authors:
Feng Ding
Affiliations:
School of Communication and Control Engineering, Jiangnan University, Wuxi 214122, PR China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

Special matrices are very useful in signal processing and control systems. This paper studies the transformations and relationships between some special matrices. The conditions that a matrix is similar to a companion matrix are derived. It is proved that a companion matrix is similar to a diagonal matrix or Jordan matrix, and the transformation matrices between them are given. Finally, we apply the similarity transformation and the companion matrix to system identification.