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Lagrange polynomial

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.

Noun

Lagrange polynomial (plural Lagrange polynomials)

  1. 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.

Forms of Lagrange polynomial

pluralLagrange polynomials

Origin of Lagrange polynomial

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

Questions about Lagrange polynomial

What does Lagrange polynomial mean?
Lagrange polynomial means 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.
What part of speech is Lagrange polynomial?
Lagrange polynomial is a noun.
What is the plural of Lagrange polynomial?
The plural of Lagrange polynomial is Lagrange polynomials.

Words near Lagrange polynomial in the dictionary

  1. lagoviruses
  2. LaGrange
  3. LaGrange County
  4. Lagrange point
  5. Lagrange points
  6. Lagrange polynomial
  7. Lagrange polynomials
  8. Lagrange test
  9. Lagrange's equation
  10. Lagrange's equations
  11. Lagrange's interpolation formula

Source and license

Adapted from Wiktionary: Lagrange polynomial (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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