On the Decay of the Elements of Inverse Triangular Toeplitz Matrices

Neville Ford, Dmitry Savostyanov, Nickolai Zamarashkin

Research output: Contribution to journalArticle

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 to the classical results of Jaffard and Vecchio and are illustrated by numerical examples.
Original languageEnglish
Pages (from-to)1288-1302
Number of pages15
JournalSIAM Journal on Matrix Analysis and Applications
Volume35
Issue number4
DOIs
Publication statusPublished - 28 Oct 2014

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