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

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 $H_n=\left(\dfrac{2}{1+2(i+j)}\right)_{i,j=1}^n$.

Keywords

• Cauchy-Hankel matrix
• matrix commutator
• frobenius norm.

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