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In this paper we describe the asymptotic behaviour of the spectral norm ofthe product of two finite Toeplitz matrices as the matrix dimension goes to theinfinity. These Toeplitz matrices are generated by positive functions withFisher-Hartwig singularities of negative order. Since we have positiveoperators it is known that the spectral norm is also the largest eigenvalue ofthis product.

Maximal eigenvalue and norm of the product of Toeplitz matrices. Study of a particular case