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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2002, 7(3), 211-218; https://doi.org/10.3390/mca7030211

Some Bounds on \(\ell_p\) Matrix and \(\ell_p\) Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices

1
Department of Mathematics, Education Faculty of Selçuk University, 42099, Konya, Turkey
2
Department of Mathematics, Art and Science Faculty of Selçuk University, 42031, Konya, Turkey
*
Authors to whom correspondence should be addressed.
Published: 1 December 2002
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Abstract

Let Cn, Tn and Hn denote almost circulant, Cauchy-ToeplitZ and Cauchy-Hankel matrices, respectively. We find some upper bounds for \(\ell_p\) matrix norm and \(\ell_p\) operator norm of this matrices. Moreover, we give some results for Kronecker products Cn\(\otimes\)Tn and Cn\(\otimes\)Hn.
Keywords: Circulant matrix; Cauchy-Toeplitz matrix; Cauchy-Hankel matrix; norm; Kronecker product Circulant matrix; Cauchy-Toeplitz matrix; Cauchy-Hankel matrix; norm; Kronecker product
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Solak, S.; Bozkurt, D. Some Bounds on \(\ell_p\) Matrix and \(\ell_p\) Operator Norms of Almost Circulant, Cauchy-Toeplitz and Cauchy-Hankel Matrices. Math. Comput. Appl. 2002, 7, 211-218.

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