On the decay of the elements of inverse triangular Toeplitz matrices
AffiliationUniversity of Chester ; University of Chester ; Institute of Numerical Mathematics, Russian Academy of Sciences
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AbstractWe 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.
CitationSIAM Journal on Matrix Analysis and Applications, 2014, 35(4), pp. 1288-1302
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