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The Lagrange interpolation polynomial algorithm error analysis

Qiang Cai, Laizhong Song

Open publisher page 14 citations

Abstract

Base on the Lagrange interpolation polynomial algorithm, the error analysis is discussed in this paper. Firstly, we derive the Lagrange interpolation polynomial algorithm and introduce the shape function with the usage of related data figures. Secondly, how to derive the Lagrange interpolation function is also simply introduced. At last, some examples have been given to display the error analysis of the Lagrange interpolation polynomial algorithm and two conclusions are suggested to minimize the errors in Lagrange interpolation.

About this research paper

What this paper is about

Base on the Lagrange interpolation polynomial algorithm, the error analysis is discussed in this paper. Firstly, we derive the Lagrange interpolation polynomial algorithm and introduce the shape function with the usage of related data figures. Secondly, how to derive the Lagrange interpolation function is also simply introduced. At last, some examples have been given to display the error analysis of the Lagrange interpolation polynomial algorithm and two conclusions are suggested to minimize the errors in Lagrange interpolation.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Base on the Lagrange interpolation polynomial algorithm, the error analysis is discussed in this paper. Firstly, we derive the Lagrange interpolation polynomial algorithm and introduce the shape function with the usage of related data figures. Secondly, how to derive the Lagrange interpolation function is also simply introduced. At last, some examples have been given to display the error analysis of the Lagrange interpolation polynomial algorithm and two conclusions are suggested to minimize the errors in Lagrange interpolation.

Key concepts: Lagrange polynomial, Polynomial interpolation, Interpolation (computer graphics), Birkhoff interpolation, Inverse quadratic interpolation, Trigonometric interpolation, Algorithm, Spline interpolation

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