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dc.contributor.authorFord, Neville J.*
dc.contributor.authorSavostyanov, Dmitry V.*
dc.contributor.authorZamarashkin, Nickolai L.*
dc.date.accessioned2014-07-18T13:08:54Z
dc.date.available2014-07-18T13:08:54Z
dc.date.issued2014-10-28
dc.identifier.citationFord, 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. 1288-1302en
dc.identifier.issn0895-4798en
dc.identifier.doi10.1137/130931734
dc.identifier.urihttp://hdl.handle.net/10034/323408
dc.description.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.
dc.description.sponsorshipLeverhulme Trusten
dc.language.isoenen
dc.publisherSociety for Industrial and Applied Mathematicsen
dc.relation.urlhttp://www.siam.org/journals/simax.phpen
dc.subjectVolterra equationen
dc.subjectAbel equationen
dc.subjectToeplitz matrixen
dc.subjectstability analysisen
dc.titleOn the decay of the elements of inverse triangular Toeplitz matricesen
dc.typeArticleen
dc.identifier.eissn1095-7162
dc.contributor.departmentUniversity of Chester ; University of Chester ; Institute of Numerical Mathematics, Russian Academy of Sciencesen
dc.identifier.journalSIMAX (SIAM Journal of Matrix Analysis and Applications)
rioxxterms.versionofrecordhttps://doi.org/10.1137/130931734
html.description.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.
rioxxterms.publicationdate2014-10-28


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