A fast and efficient adaptive sampling algorithm for multivariate, multiple output rational interpolation models is presented, which is based on convergents of Thiele type branched continued fractions. The multiple output interpolation model consists of a set of rational interpolants, and each interpolant models one of the output parameters. A single global error function is defined that incorporates all the output parameters, and it is used for the selection of the same set of support points for all the interpolants. The technique is evaluated on several passive microwave structures and compared to previously published results.
UITTREKSEL
IN LE ID IN GGcstel X is 'n versamcling, I = [0,1 ] en is die vcrsameiing van allc funksies van X na /. 'n Ncwelvcrsam cling A 'm X word dcur 'n lidm aatskapsfunksie e gckaraktcriscer. Die lidmaatskaps-(unksie van 'n gew one declvcrsam eling van X is sy karaklcristiekc I'unksic. Laal a die new eiversam eling aandui waarvan die lidmaalskapsfunksie die konstante funksie mel waarde a is. 'n Neweipunl p in X is 'n neweiversameling mel lidmaatskapsfunksie wal sodanig is dat Ap as X := 0 as jc 5 Í Xp, waar 0 < < 1. Die new eipunl p = (x^, A^) het ondersteuning x^ en waarde A^. 'n N ew eipunl p behoort lol'^ 'n neweiversameling A in X (geskryf p e A ) as Hp{Xp) < ^i^(Xp). 'n Gewone punl y word mel sy karakterislieke funksie gcidenlifiseer. Verder behoort y lol A as = 1. M el punle word in hierdie arlikel bcide gewone en newelpunlc bcdoel, en mel versamelings word beide gewone en newelversamelings bedoel.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.