Solution of Linear Equations with Hankel and Toeplitz Matrices.
J. Rissanen (1974)
Numerische Mathematik
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J. Rissanen (1974)
Numerische Mathematik
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G. Heinig, P. Jankowski, K. Rost (1987/88)
Numerische Mathematik
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Titus Hilberdink (2006)
Acta Arithmetica
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Il'in, S.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Tom Hoholdt, Jorn Justesen (1978)
Mathematica Scandinavica
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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.
Sanzheng Qiao (1988)
Numerische Mathematik
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D.R. Sweet (1984)
Numerische Mathematik
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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.
Huckle, Thomas K., Noutsos, Dimitrios (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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D.R. Sweet (1990/91)
Numerische Mathematik
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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,...
A.W. Bojanczyk, R.P., de Hoog, F. de Brent (1986)
Numerische Mathematik
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Elżbieta Król-Klimkowska, Marek Ptak (2016)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of existence such a non-zero operator. There are also presented conditions of analyticity of such an operator.