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Article

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

by
Süleyman Solak
1,*,
Ramazan Türkmen
2,* and
Durmuş Bozkurt
2,*
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.
Math. Comput. Appl. 2004, 9(1), 41-47; https://doi.org/10.3390/mca9010041
Published: 1 April 2004
Versions Notes

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

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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. https://doi.org/10.3390/mca9010041

AMA Style

Solak S, Türkmen R, Bozkurt D. Upper Bounds for the Spectral and lp Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices. Mathematical and Computational Applications. 2004; 9(1):41-47. https://doi.org/10.3390/mca9010041

Chicago/Turabian Style

Solak, Süleyman, Ramazan Türkmen, and Durmuş Bozkurt. 2004. "Upper Bounds for the Spectral and lp Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices" Mathematical and Computational Applications 9, no. 1: 41-47. https://doi.org/10.3390/mca9010041

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