On the Frobenius Norm of Commutator of Cauchy-Hankel Matrix and Exchange Matrix

Name: On the Frobenius Norm of Commutator of Cauchy-Hankel Matrix and Exchange Matrix
Keywords: Algebra and Number Theory, Cebir ve Sayı Teorisi, Cauchy-Hankel matrix;matrix commutator;frobenius norm.

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 2025Publisher:Turkish Journal of Mathematics and Computer Science, Association of MathematiciansJournal:Turkish Journal of Mathematics and Computer Science, volume 17, pages 26-32 (eissn: 2148-1830,

Authors: Ahmet Öksüz; Süleyman Solak;

doi: 10.47000/tjmcs.1553098

On the Frobenius Norm of Commutator of Cauchy-Hankel Matrix and Exchange Matrix

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Abstract

This paper gives upper and lower bounds for the Frobenius norm of the commutator of the exchange matrix and the Cauchy-Hankel matrix of the form $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.

Related Organizations

Necmettin Erbakan University
Turkey

Keywords

Algebra and Number Theory, Cebir ve Sayı Teorisi, Cauchy-Hankel matrix;matrix commutator;frobenius norm.

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