MATRIX ALGORITHMS AND ERROR FORMULA FOR BIVARIATE THIELE-TYPE RECTANGULAR MATRIX VALUED RATIONAL INTERPOLATION

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    摘要 Anewmethodfortheconstructionofbivariatematrixvaluedrationalinterpolants(BGIRI)onarectangulargridispresentedin[6].TherationalinterpolantsareofThiele-typecontinuedfractionformwithscalardenominator.Thegeneralizedinverseintroducedby[3]isgen-eralizedtorectangularmatrixcaseinthispaper.Anexacterrorformulaforinterpolationisob-tained,whichisanextensioninmatrixformofbivariatescalarandvectorvaluedrationalinterpola-tiondiscussedbySiemaszko[l2]andbyGuChuangqing[7]respectively.Bydefiningrowandcol-umn-transformationinthesenseofthepartialinverteddifferencesformatrices,twotypematrixalgorithmsareestablishedtoconstructcorrespondingtwodifferentBGIRI,whichholdforthevec-torcaseandthescalarcase.
    机构地区 不详
    出版日期 1999年02月12日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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