The bivariate Thiele-type interpolating branched continued fractions and Newton interpolation polynomials are combined. By introducing the so-called blending partial differences, a triple rational interpolation scheme is obtained. The characteristic theorem and error estimation are presented. Finally, an example is given.
CUI Rong-rong1,2, GU Chuan-qing1
. A Method of Triple Newton-Thiele Type Rational Interpolation[J]. Journal of Shanghai University, 2014
, 20(1)
: 107
-113
.
DOI: 10.3969/j.issn.1007-2861.2013.07.021
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