On the Decay of the Elements of Inverse Triangular Toeplitz Matrices

Abstract

Abstract. 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… (More)
DOI: 10.1137/130931734

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@article{Ford2014OnTD, title={On the Decay of the Elements of Inverse Triangular Toeplitz Matrices}, author={Neville J. Ford and Dmitry V. Savostyanov and Nickolai Zamarashkin}, journal={SIAM J. Matrix Analysis Applications}, year={2014}, volume={35}, pages={1288-1302} }