On the decay of the elements of inverse triangular Toeplitz matrices
Affiliation
University of Chester ; University of Chester ; Institute of Numerical Mathematics, Russian Academy of SciencesPublication Date
2014-10-28
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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.Citation
Ford, N. J., Savostyanov, D. V., & Zamarashkin, N. L. (2014). On the decay of the elements of inverse triangular Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 35(4), pp. 1288-1302Additional Links
http://www.siam.org/journals/simax.phpType
ArticleLanguage
enISSN
0895-4798EISSN
1095-7162Sponsors
Leverhulme Trustae974a485f413a2113503eed53cd6c53
10.1137/130931734
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