摘要
Thispaperconstructsanewkindofblockbasedbivariateblendingrationalinterpolationviasymmetricbranchedcontinuedfractions.Theconstructionprocessmaybeoutlinedasfollows.Thefirststepistodividetheoriginalsetofsupportpointsintosomesubsets(blocks).Thenconstructeachblockbyusingsymmetricbranchedcontinuedfraction.FinallyassembletheseblocksbyNewton’smethodtoshapethewholeinterpolationscheme.OurnewmethodoffersmanyflexiblebivariateblendingrationalinterpolationschemeswhichincludetheclassicalbivariateNewton’spolynomialinterpolationandsymmetricbranchedcontinuedfractioninterpolationasitsspecialcases.Theblockbasedbivariateblendingrationalinterpolationisinfactakindoftradeoffbetweenthepurelylinearinterpolationandthepurelynonlinearinterpolation.Finally,numericalexamplesaregiventoshowtheeffectivenessoftheproposedmethod.
出版日期
2007年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）
