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Transformations between some special matrices. (English) Zbl 1193.15028
Summary: 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.

15B34Boolean and Hadamard matrices
Full Text: DOI
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