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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 wikiPageRevisionID "582009554".
- Simple_rational_approximation hasPhotoCollection Simple_rational_approximation.
- Simple_rational_approximation subject Category:Interpolation.
- 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 m.0ccz64.
- Simple_rational_approximation sameAs Q7520822.
- Simple_rational_approximation sameAs Q7520822.
- Simple_rational_approximation wasDerivedFrom Simple_rational_approximation?oldid=582009554.
- Simple_rational_approximation isPrimaryTopicOf Simple_rational_approximation.