On the Eigenvalues of Generalized Toeplitz Matrices.
Palle Schmidt, Lars Mejlbo (1962)
Mathematica Scandinavica
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Palle Schmidt, Lars Mejlbo (1962)
Mathematica Scandinavica
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Palle Schmidt, Frank Spitzer (1960)
Mathematica Scandinavica
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E.H. BAREISS (1969)
Numerische Mathematik
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Edgar Reich (1962)
Mathematica Scandinavica
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Titus Hilberdink (2006)
Acta Arithmetica
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Glenn Baxter, Palle Schmidt (1961)
Mathematica Scandinavica
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G. Heinig, P. Jankowski, K. Rost (1987/88)
Numerische Mathematik
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Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
J. Rissanen (1974)
Numerische Mathematik
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Huckle, Thomas K., Noutsos, Dimitrios (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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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,...
P. Erdös, G. Piranian (1964)
Mathematische Zeitschrift
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Yufeng Lu, Linghui Kong (2014)
Studia Mathematica
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We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.