Bivariate Symmetry Associated Continued Fractions Blending Rational Interpolation

Computational and Information Sciences（2013）

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摘要

By introducing partial divided differences and partial inverse differences, bivariate symmetry associated continued fractions blending rational interpolation is constructed. We discuss the recursive algorithm, interpolation theorem and error estimation. We extend the conclusion to vector valued, matrix valued cases and the triangular net case.

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关键词

partial inverse difference,bivariate symmetry associated,error estimation,interpolation,continued fractions,rational interpolation,matrix algebra,recursive algorithm,inverse differences,associated continued fractions,partial divided differences,partial divided difference,matrix valued cases,interpolation theorem,continued fraction,bivariate symmetry associated continued fractions blending rational interpolation,bivariate symmetry,symmetry continued fractions,triangular net case,newton interpolation polynomial

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