Remarks on extreme eigenvalues of Toeplitz matrices.
Pourahmadi, Mohsen (1988)
International Journal of Mathematics and Mathematical Sciences
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Pourahmadi, Mohsen (1988)
International Journal of Mathematics and Mathematical Sciences
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Huckle, Thomas K., Noutsos, Dimitrios (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Böttcher, A., Grudsky, S. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Boettcher, A., Grudsky, S.M., Silbermann, B. (1997)
The New York Journal of Mathematics [electronic only]
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Taddesse Zegeye, S.C. Arora (2001)
Publications de l'Institut Mathématique
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E.H. BAREISS (1969)
Numerische Mathematik
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Guediri, Hocine (2010)
Abstract and Applied Analysis
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Palle Schmidt, Lars Mejlbo (1962)
Mathematica Scandinavica
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Titus Hilberdink (2006)
Acta Arithmetica
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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.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.
Basor, Estelle L., Ehrhardt, Torsten (1999)
The New York Journal of Mathematics [electronic only]
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Tom Hoholdt, Jorn Justesen (1978)
Mathematica Scandinavica
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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.