Lagrange polynomial

noun

For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point.

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Meanings

nounLagrange polynomial (plural Lagrange polynomials)

plural Lagrange polynomials

  1. mathematicsFor a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point.

Origin

Named after Joseph Louis Lagrange, who published on the topic in 1795, though the method was first discovered in 1779 by Edward Waring.

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Cite this entry
APA

Lagrange polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Lagrange%20polynomial

MLA

“Lagrange polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lagrange%20polynomial. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lagrange polynomial,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Lagrange%20polynomial.

Source: Lagrange polynomial on Wiktionary, CC BY-SA 4.0.