MATLAB Implementation of Lagrange Interpolation with Code Examples
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This repository provides a complete MATLAB implementation of Lagrange interpolation. The program can be downloaded from the following URL:
https://www.example.com/lagrange-interpolation
Lagrange interpolation is a fundamental numerical method for estimating function values at specific points using known data points. The algorithm constructs a polynomial that passes exactly through given data points (x_i, y_i) using the Lagrange basis polynomials. The MATLAB implementation demonstrates how to compute the interpolation polynomial through vectorized operations, handling the product of basis functions efficiently. Key functions include calculating Lagrange basis polynomials using element-wise multiplication and summation, with proper handling of the exclusion term when i≠j. This implementation helps users understand the mathematical foundation of interpolation methods while providing practical code that can be easily adapted for real-world data analysis applications.
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