IJPAM: Volume 37, No. 1 (2007)
RELATIONS BETWEEN THE CONFEDERATE MATRIX
AND THE COMPANION MATRIX OF THE POLYNOMIAL
AND THE COMPANION MATRIX OF THE POLYNOMIAL
Yan Lai LiangDepartment of Applied Mathematics, Dalian University of Technology, Dalian, Liao Ning, 116024, P.R. CHINA
Department of Mathematics and Computer Science
Yulin Teachers College
Yulin, Guang-Xi, 537000, P.R. CHINA
and
Department of Applied Mathematics
Dalian University of Technology
Dalian, Liao Ning, 116024, P.R. CHINA
e-mail: yulinsjxlyl@163.com
Department of Mathematics and Computer Science
Yulin Teachers College
Yulin, Guang-Xi, 537000, P.R. CHINA
and
Department of Applied Mathematics
Dalian University of Technology
Dalian, Liao Ning, 116024, P.R. CHINA
e-mail: yulinsjxlyl@163.com
Abstract.In this paper, we study the relations between the confederate matrix and
the companion matrix of the polynomial by defining some linear operators
at the polynomial space ![$ C_{n}[x]$](img1.png){kind=small}
. Similarity formulas of the two matrices are obtained.
Received: February 16, 2007
AMS Subject Classification: 15A57
Key Words and Phrases: polynomial basis, linear operator, confederate matrix, companion matrix
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 1
