Definition:Lagrange Basis Polynomial

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Definition

Let $x_0, \ldots, x_n \in \R$ be real numbers.

The Lagrange basis polynomials associated to the $x_i$ are the polynomials:

$\ds \map {L_j} X := \prod_{\substack {0 \mathop \le i \mathop \le n \\ i \mathop \ne j} } \frac {X - x_i} {x_j - x_i} \in \R \sqbrk X$






Source of Name

This entry was named for Joseph Louis Lagrange.


Also see