A simple proof of the classification of normal Toeplitz matrices.
Arimoto, Akio (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Arimoto, Akio (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Numerische Mathematik
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The New York Journal of Mathematics [electronic only]
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ELA. The Electronic Journal of Linear Algebra [electronic only]
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A.K. Abdikalykov, V.N. Chugunov, Kh.D. Ikramov (2015)
Special Matrices
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Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices. Generalizing this result, we give a complete description of unitary similarity automorphisms of the space of Toeplitz-plus-Hankel matrices.
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Mathematica Scandinavica
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Yousong Luo, Robin Hill (2015)
Special Matrices
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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,...
Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Numerische Mathematik
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Fritzsche, Bernd, Kirstein, Bernd, Sakhnovich, Alexander L. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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