Polynomial algebra for Birkhoff interpolants

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dc.contributor.author Butcher, John en
dc.contributor.author Corless, RM en
dc.contributor.author Gonzalez-Vega, L en
dc.contributor.author Shakoori, A en
dc.date.accessioned 2012-03-05T01:04:24Z en
dc.date.issued 2011 en
dc.identifier.citation Numerical Algorithms 56(3):319-347 2011 en
dc.identifier.issn 1017-1398 en
dc.identifier.uri http://hdl.handle.net/2292/12834 en
dc.description.abstract We introduce a unifying formulation of a number of related problems which can all be solved using a contour integral formula. Each of these problems requires finding a non-trivial linear combination of possibly some of the values of a function f , and possibly some of its derivatives, at a number of data points. This linear combination is required to have zero value when f is a polynomial of up to a specific degree p. Examples of this type of problem include Lagrange, Hermite and Hermite–Birkhoff interpolation; fixed-denominator rational interpolation; and various numerical quadrature and differentiation formulae. Other applications include the estimation of missing data and root-finding. en
dc.publisher Springer en
dc.relation.ispartofseries Numerical Algorithms en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/1017-1398/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title Polynomial algebra for Birkhoff interpolants en
dc.type Journal Article en
dc.identifier.doi 10.1007/s11075-010-9385-x en
pubs.issue 3 en
pubs.begin-page 319 en
pubs.volume 56 en
dc.rights.holder Copyright: Springer Science+Business Media en
pubs.author-url http://www.springerlink.com.ezproxy.auckland.ac.nz/content/0043167j64413027/fulltext.pdf en
pubs.end-page 347 en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.subtype Article en
pubs.elements-id 207992 en
dc.identifier.eissn 1572-9265 en
pubs.record-created-at-source-date 2012-02-23 en

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