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- Simple_rational_approximation 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.".
- Simple_rational_approximation wikiPageID "4619202".
- Simple_rational_approximation wikiPageLength "4554".
- Simple_rational_approximation wikiPageOutDegree "17".
- Simple_rational_approximation wikiPageRevisionID "623240841".
- Simple_rational_approximation wikiPageWikiLink Category:Interpolation.
- Simple_rational_approximation wikiPageWikiLink Characteristic_polynomial.
- Simple_rational_approximation wikiPageWikiLink Divide_and_conquer_algorithms.
- Simple_rational_approximation wikiPageWikiLink Edmond_Halley.
- Simple_rational_approximation wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Simple_rational_approximation wikiPageWikiLink Halleys_method.
- Simple_rational_approximation wikiPageWikiLink Interpolation.
- Simple_rational_approximation wikiPageWikiLink Matrix_(mathematics).
- Simple_rational_approximation wikiPageWikiLink Numerical_analysis.
- Simple_rational_approximation wikiPageWikiLink Pole_(complex_analysis).
- Simple_rational_approximation wikiPageWikiLink Rational_function.
- Simple_rational_approximation wikiPageWikiLink Society_for_Industrial_and_Applied_Mathematics.
- Simple_rational_approximation wikiPageWikiLink Stanford_University.
- Simple_rational_approximation wikiPageWikiLink Zero_of_a_function.
- Simple_rational_approximation wikiPageWikiLinkText "Simple rational approximation".
- Simple_rational_approximation wikiPageUsesTemplate Template:Citation.
- Simple_rational_approximation subject Category:Interpolation.
- Simple_rational_approximation hypernym Subset.
- Simple_rational_approximation type ProgrammingLanguage.
- Simple_rational_approximation 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.The main application of SRA lies in finding the zeros of secular functions.".
- Simple_rational_approximation label "Simple rational approximation".
- Simple_rational_approximation sameAs Q7520822.
- Simple_rational_approximation sameAs m.0ccz64.
- Simple_rational_approximation sameAs Q7520822.
- Simple_rational_approximation wasDerivedFrom Simple_rational_approximation?oldid=623240841.
- Simple_rational_approximation isPrimaryTopicOf Simple_rational_approximation.