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Generalization Of Taylor's Theorem And Newton's Method Via A New Family Of Determinantal Interpolation Formulas

2000
The general form of Taylor's theorem gives the formula, f = Pn + Rn, where Pn is the Newton's interpolating polynomial, computed with respect to a confluent vector of nodes, and Rn is the remainder. When f' /= 0, for each m = 2; : : : ; n + 1, we describe a "determinantal interpolation formula", f = Pm,n + Rm,n, where Pm,n is a rational function in x ...
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Newton's Interpolation Formulas. Further Notes

Journal of the Institute of Actuaries, 1919
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On the Condition Number of the Newton Interpolation on the Unit Disk

Computational Methods and Function Theory, 2023
Phung Van Manh
exaly  

Newton’s Divided Difference Interpolation formula: Representation of Numerical Data by a Polynomial curve

International Journal of Mathematics Trends and Technology, 2016
Biswajit Das, Dhritikesh Chakrabarty
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Newton interpolation using $$\Re $$-Leja sequences

BIT Numerical Mathematics, 2022
Moulay Abdellah Chkifa
exaly  

Block based Newton-like blending osculatory rational interpolation

Analysis in Theory and Applications, 2010
Le Zou
exaly  

Newton interpolation at Leja points

BIT Numerical Mathematics, 1990
Lothar Reichel
exaly  

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