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- Lagrange_polynomial abstract "In numerical analysis, Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points and numbers , the Lagrange polynomial is the polynomial of the least degree that at each point assumes the corresponding value (i.e. the functions coincide at each point). The interpolating polynomial of the least degree is unique, however, and it is therefore more appropriate to speak of "the Lagrange form" of that unique polynomial rather than "the Lagrange interpolation polynomial", since the same polynomial can be arrived at through multiple methods. Although named after Joseph Louis Lagrange, who published it in 1795, it was first discovered in 1779 by Edward Waring and it is also an easy consequence of a formula published in 1783 by Leonhard Euler.Lagrange interpolation is susceptible to Runge's phenomenon, and the fact that changing the interpolation points requires recalculating the entire interpolant can make Newton polynomials easier to use. Lagrange polynomials are used in the Newton–Cotes method of numerical integration and in Shamir's secret sharing scheme in cryptography.".
- Lagrange_polynomial thumbnail Lagrange_polynomial.svg?width=300.
- Lagrange_polynomial wikiPageExternalLink Lagrange_interpolation.
- Lagrange_polynomial wikiPageExternalLink LagrangePolyMod.html.
- Lagrange_polynomial wikiPageExternalLink bicubic-interpolation-excel-worksheet-function.
- Lagrange_polynomial wikiPageExternalLink numericalmethods.eng.usf.edu.
- Lagrange_polynomial wikiPageExternalLink lagrange_method.html.
- Lagrange_polynomial wikiPageExternalLink polynomial.php.
- Lagrange_polynomial wikiPageExternalLink gsl.
- Lagrange_polynomial wikiPageExternalLink spip.php?article71.
- Lagrange_polynomial wikiPageExternalLink chebfun.
- Lagrange_polynomial wikiPageID "217523".
- Lagrange_polynomial wikiPageRevisionID "600928679".
- Lagrange_polynomial hasPhotoCollection Lagrange_polynomial.
- Lagrange_polynomial id "Lagrange_Polynomial_Approximation".
- Lagrange_polynomial id "p/l057170".
- Lagrange_polynomial title "Estimate of the error in Lagrange Polynomial Approximation".
- Lagrange_polynomial title "Lagrange Interpolating Polynomial".
- Lagrange_polynomial title "Lagrange interpolation formula".
- Lagrange_polynomial urlname "LagrangeInterpolatingPolynomial".
- Lagrange_polynomial subject Category:Articles_containing_proofs.
- Lagrange_polynomial subject Category:Interpolation.
- Lagrange_polynomial subject Category:Polynomials.
- Lagrange_polynomial type Abstraction100002137.
- Lagrange_polynomial type Function113783816.
- Lagrange_polynomial type MathematicalRelation113783581.
- Lagrange_polynomial type Polynomial105861855.
- Lagrange_polynomial type Polynomials.
- Lagrange_polynomial type Relation100031921.
- Lagrange_polynomial comment "In numerical analysis, Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points and numbers , the Lagrange polynomial is the polynomial of the least degree that at each point assumes the corresponding value (i.e. the functions coincide at each point).".
- Lagrange_polynomial label "Interpolación polinómica de Lagrange".
- Lagrange_polynomial label "Interpolation lagrangienne".
- Lagrange_polynomial label "Interpolazione di Lagrange".
- Lagrange_polynomial label "Lagrange polynomial".
- Lagrange_polynomial label "Lagrange-polynoom".
- Lagrange_polynomial label "Polinômio de Lagrange".
- Lagrange_polynomial label "Интерполяционный многочлен Лагранжа".
- Lagrange_polynomial label "متعدد حدود لاغرانج".
- Lagrange_polynomial label "ラグランジュ補間".
- Lagrange_polynomial label "拉格朗日插值法".
- Lagrange_polynomial sameAs Lagrangeova_interpolace.
- Lagrange_polynomial sameAs Interpolación_polinómica_de_Lagrange.
- Lagrange_polynomial sameAs Interpolation_lagrangienne.
- Lagrange_polynomial sameAs Interpolazione_di_Lagrange.
- Lagrange_polynomial sameAs ラグランジュ補間.
- Lagrange_polynomial sameAs 라그랑주_다항식.
- Lagrange_polynomial sameAs Lagrange-polynoom.
- Lagrange_polynomial sameAs Polinômio_de_Lagrange.
- Lagrange_polynomial sameAs m.01fvq2.
- Lagrange_polynomial sameAs Q861606.
- Lagrange_polynomial sameAs Q861606.
- Lagrange_polynomial sameAs Lagrange_polynomial.
- Lagrange_polynomial wasDerivedFrom Lagrange_polynomial?oldid=600928679.
- Lagrange_polynomial depiction Lagrange_polynomial.svg.
- Lagrange_polynomial isPrimaryTopicOf Lagrange_polynomial.
