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Math. Comput. Appl. 2004, 9(1), 41-47; doi:10.3390/mca9010041

Upper Bounds for the Spectral and lp Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices

1
Department of Mathematics Education, Selçuk University, 42099 (Meram Yeniyol), Konya, Turkey
2
Department of Mathematics, Selçuk University, 42031, Konya, Turkey
*
Authors to whom correspondence should be addressed.
Published: 1 April 2004
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Abstract

In this study we have given some upper bounds for the spectral and lp norms of Cauchy-Toeplitz and Cauchy-Hankel matrices of the forms T = [1/(1/2 + |i + j|]n×n and H= [1/(1/2 + (i + j))]n×n respectively.
Keywords: Cauchy-Toeplitz matrix; Cauchy-Hankel matrix; matrix norm; upper bound; Hadamard product Cauchy-Toeplitz matrix; Cauchy-Hankel matrix; matrix norm; upper bound; Hadamard product
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Solak, S.; Türkmen, R.; Bozkurt, D. Upper Bounds for the Spectral and lp Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices. Math. Comput. Appl. 2004, 9, 41-47.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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