A Simple Expression for Multivariate Lagrange Interpolation | Zendy

Kamron Saniee | Zendy

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A Simple Expression for Multivariate Lagrange Interpolation

Author(s) -

Kamron Saniee

Publication year - 2008

Publication title -

siam undergraduate research online

Language(s) - English

Resource type - Journals

ISSN - 2327-7807

DOI - 10.1137/08s010025

Subject(s) - simple (philosophy) , multivariate statistics , interpolation (computer graphics) , expression (computer science) , mathematics , lagrange polynomial , multivariate interpolation , multivariate analysis , trigonometric interpolation , computer science , mathematical optimization , nearest neighbor interpolation , statistics , mathematical analysis , bilinear interpolation , artificial intelligence , programming language , motion (physics) , philosophy , epistemology , polynomial

We derive a simple formula for constructing the degree n multinomial function which interpolates a set of ( n+m n ) points in Rm+1, when the function is unique. The formula coincides with the standard Lagrange interpolation formula if the points are given in R2. We also provide examples to show how the formula is used in practice.

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