On GCD, LCM and Hilbert matrices and their applications

作者:

Highlights:

摘要

We give upper bounds for the ℓp norm of the Hilbert matrix H=(1/(i+j−1))i,j=1n and its Hadamard square. Furthermore determine lower bounds for the Frobenius norms of GCD and LCM matrices.

论文关键词:Norm,Hilbert matrix,GCD matrix and LCM matrix

论文评审过程:Available online 5 February 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00599-4