Lagrange polynomial

Noun

Meaning

Lagrange polynomial (plural Lagrange polynomials)

(mathematics) For a given set of points



(

x

j


,

y

j


)


{\displaystyle (x_{j},y_{j})}

with no two




x

j




{\displaystyle x_{j}}

values equal, the polynomial of lowest degree that assumes at each value




x

j




{\displaystyle x_{j}}

the corresponding value




y

j




{\displaystyle y_{j}}

, so that the functions coincide at each point.

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