On the bounds for the norms of Cauchy–Toeplitz and Cauchy–Hankel matrices

摘要

In this paper, we have established a lower and an upper bounds for the spectral norms of the general Cauchy–Toeplitz matrices of the form Tn=[1/(g+(i−j)h)], where g=1/k and h=1. Moreover, we have obtained an upper bounds for the spectral norm of the Cauchy–Hankel matrices of the form Hn=[1/(g+(i+j)h)], where g=1/k and h=1. In addition, we have established a lower and an upper bounds for the Euclidean norm of the Hadamard product Cauchy–Toeplitz and Cauchy–Hankel matrices.