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- Q7520822 subject Q8551789.
- Q7520822 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.".
- Q7520822 wikiPageWikiLink Q11216.
- Q7520822 wikiPageWikiLink Q1476051.
- Q7520822 wikiPageWikiLink Q187631.
- Q7520822 wikiPageWikiLink Q190524.
- Q7520822 wikiPageWikiLink Q214604.
- Q7520822 wikiPageWikiLink Q41237.
- Q7520822 wikiPageWikiLink Q41506.
- Q7520822 wikiPageWikiLink Q44337.
- Q7520822 wikiPageWikiLink Q47434.
- Q7520822 wikiPageWikiLink Q671298.
- Q7520822 wikiPageWikiLink Q782100.
- Q7520822 wikiPageWikiLink Q849705.
- Q7520822 wikiPageWikiLink Q8551789.
- Q7520822 wikiPageWikiLink Q899731.
- Q7520822 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.".
- Q7520822 label "Simple rational approximation".