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What is Lagrange Polynomial Interpolation Methods about?

The document discusses interpolation and polynomial approximation. It describes how the Lagrange interpolating polynomial can be used to fit a polynomial to data points (xi, yi). The Lagrange polynomial is defined such that it passes through each data point by constructing basis polynomials Ln,k(x) that are 1 at xk and 0 at all other data points. The nth degree Lagrange interpolating polynomial is the sum of the basis polynomials multiplied by the corresponding function values f(xk). This allows fitting an

Author

Kiio Makau

Language

EN