This HTML5 document contains 37 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n13https://global.dbpedia.org/id/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
n15https://zenodo.org/record/1236142/files/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
dbchttp://dbpedia.org/resource/Category:
xsdhhttp://www.w3.org/2001/XMLSchema#
goldhttp://purl.org/linguistics/gold/
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Interpolation
dbo:wikiPageWikiLink
dbr:Simple_rational_approximation
Subject Item
dbr:List_of_numerical_analysis_topics
dbo:wikiPageWikiLink
dbr:Simple_rational_approximation
Subject Item
dbr:Maamar_Bettayeb
dbo:wikiPageWikiLink
dbr:Simple_rational_approximation
Subject Item
dbr:Rational_approximation
dbo:wikiPageWikiLink
dbr:Simple_rational_approximation
dbo:wikiPageDisambiguates
dbr:Simple_rational_approximation
Subject Item
dbr:Simple_rational_approximation
rdf:type
dbo:ProgrammingLanguage
rdfs:label
Simple rational approximation
rdfs:comment
Simple rational approximation (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a specific rational function whose poles and zeros are simple, which means that there is no multiplicity in poles and zeros. Sometimes, it only implies simple poles.
dcterms:subject
dbc:Interpolation
dbo:wikiPageID
4619202
dbo:wikiPageRevisionID
1032330915
dbo:wikiPageWikiLink
dbr:Secular_function dbr:Matrix_(mathematics) dbr:Interpolation dbc:Interpolation dbr:Society_for_Industrial_and_Applied_Mathematics dbr:Halley's_method dbr:Root_of_a_function dbr:Edmond_Halley dbr:Pole_(complex_analysis) dbr:Rational_function dbr:Eigenvalues dbr:Divide-and-conquer_algorithm dbr:Eigenvectors dbr:Numerical_analysis dbr:Stanford_University
dbo:wikiPageExternalLink
n15:article.pdf
owl:sameAs
n13:4uiED freebase:m.0ccz64 wikidata:Q7520822
dbp:wikiPageUsesTemplate
dbt:Citation
dbo:abstract
Simple rational approximation (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a specific rational function whose poles and zeros are simple, which means that there is no multiplicity in poles and zeros. Sometimes, it only implies simple poles. The main application of SRA lies in finding the zeros of secular functions. A divide-and-conquer algorithm to find the eigenvalues and eigenvectors for various kinds of matrices is well known in numerical analysis. In a strict sense, SRA implies a specific interpolation using simple rational functions as a part of the divide-and-conquer algorithm. Since such secular functions consist of a series of rational functions with simple poles, SRA is the best candidate to interpolate the zeros of the secular function. Moreover, based on previous researches, a simple zero that lies between two adjacent poles can be considerably well interpolated by using a two-dominant-pole rational function as an approximating function.
gold:hypernym
dbr:Subset
prov:wasDerivedFrom
wikipedia-en:Simple_rational_approximation?oldid=1032330915&ns=0
dbo:wikiPageLength
4642
foaf:isPrimaryTopicOf
wikipedia-en:Simple_rational_approximation
Subject Item
wikipedia-en:Simple_rational_approximation
foaf:primaryTopic
dbr:Simple_rational_approximation