• On the decay of the elements of inverse triangular Toeplitz matrices

      Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L.; University of Chester ; University of Chester ; Institute of Numerical Mathematics, Russian Academy of Sciences (Society for Industrial and Applied Mathematics, 2014-10-28)
      We consider half–infinite triangular Toeplitz matrices with slow decay of the elements and prove under a monotonicity condition that the elements of the inverse matrix, as well as the elements of the fundamental matrix, decay to zero. We provide a quantitative description of the decay of the fundamental matrix in terms of p–norms. The results add to the classical results of Jaffard and Vecchio, and are illustrated by numerical examples.