Companion matrices and their relations to Toeplitz and Hankel matrices

• Autorzy: Yousong Luo , Robin Hill
• Języki publikacji: EN

Abstrakty

EN

In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing known results, for a matrix to be the transforming matrix for a similarity between a pair of companion matrices. A special case of our main result shows that a Toeplitz or a Hankel matrix can be extended using associated companion matrices, preserving the Toeplitz or Hankel structure respectively.

Słowa kluczowe

EN

Companion matrix; Toeplitz matrix; Hankel matrix; Bezoutian

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-04-22

zaakceptowano

2015-09-15

online

2015-10-07

Twórcy

autor

Yousong Luo

• Luo: School of Mathematical and Geospatial Sciences, RMIT University, GPO Box 2476V,
  Melbourne, Vic. 3001, AUSTRALIA

autor

Robin Hill

• Department of Electrical and Electronic Engineering, University of Melbourne, Vic. 3010, AUSTRALIA

Bibliografia

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Identyfikatory

DOI

10.1515/spma-2015-0021