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Newton's method: Sufficient conditions for practical and input-to-state stability

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dc.contributor.authorColabufo, Giuseppe G.en
dc.contributor.authorDower, Peter M.en
dc.contributor.authorShames, Imanen
dc.date.accessioned2025-12-31T22:40:52Z
dc.date.available2025-12-31T22:40:52Z
dc.date.issued2020en
dc.description.abstractNewton's method is a classical iterative algorithm for the numerical computation of isolated roots of algebraic equations and stationary points of functions. While its application is ubiquitous in a plethora of fields, questions concerning its robust stability to uncertainties in problem data and numerical accuracy often arise in practice. This paper seeks to provide sufficient conditions for practical stability, input-to-state-stability (ISS), integral ISS (iISS) and incremental ISS (δISS) of Newton's method in the presence of such uncertainties, and provide illustrative examples of their application.en
dc.description.sponsorshipPartially supported by the US Air Force Office of Scientific Research and the Australian Government, through grants FA2386-16-1-4066 and AUSMURIB000001 / ONR MURI N00014-19-1-2571.en
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.issn2405-8963en
dc.identifier.scopus85105077142en
dc.identifier.urihttps://hdl.handle.net/1885/733798470
dc.language.isoenen
dc.relation.ispartofseries21st IFAC World Congress 2020en
dc.rightsPublisher Copyright: Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND licenseen
dc.sourceIFAC-PapersOnLineen
dc.subjectIncremental ISS (δISS)en
dc.subjectInput-to-state stability (ISS)en
dc.subjectIntegral ISS (iISS)en
dc.subjectNewton's methoden
dc.subjectNumerical methodsen
dc.subjectRobust stabilityen
dc.titleNewton's method: Sufficient conditions for practical and input-to-state stabilityen
dc.typeConference paperen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage6339en
local.bibliographicCitation.startpage6334en
local.contributor.affiliationColabufo, Giuseppe G.; Ecole Polytechniqueen
local.contributor.affiliationDower, Peter M.; Department of Electrical and Electronic Engineeringen
local.contributor.affiliationShames, Iman; Department of Electrical and Electronic Engineeringen
local.identifier.ariespublicationa383154xPUB20872en
local.identifier.citationvolume53en
local.identifier.doi10.1016/j.ifacol.2020.12.1764en
local.identifier.purecc45011b-77b1-4261-80b7-bdf20be64a20en
local.identifier.urlhttps://www.scopus.com/pages/publications/85105077142en
local.type.statusPublisheden

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