Lagrange interpolation polynomial

Lagrange interpolation polynomial
интерполяционный полином Лагранжа

Англо-русский словарь промышленной и научной лексики. 2014.

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  • Lagrange polynomial — In numerical analysis, a Lagrange polynomial, named after Joseph Louis Lagrange, is the interpolation polynomial for a given set of data points in the Lagrange form. It was first discovered by Edward Waring in 1779 and later rediscovered by… …   Wikipedia

  • Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

  • Interpolation attack — In cryptography, an interpolation attack is a type of cryptanalytic attack against block ciphers.In the attack, an algebraic function is used to represent an S box. This may be a simple quadratic, or a polynomial or rational function over a… …   Wikipedia

  • Lagrange's formula — may refer to a number of results named after Joseph Louis Lagrange: *Lagrange s interpolation formula Lagrange polynomial *Lagrange Bürmann formula Lagrange inversion theorem *Vector triple product *Mean value theorem …   Wikipedia

  • Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …   Wikipedia

  • Lebesgue constant (interpolation) — For other uses, see: Lebesgue constant. In mathematics, the Lebesgue constants (depending on a set of nodes and of its size) give an idea of how good the interpolant of a function (at the given nodes) is in comparison with the best polynomial… …   Wikipedia

  • Hermite interpolation — is a method closely related to the Newton divided difference method of interpolation in numerical analysis, that allows us to consider given derivatives at data points, as well as the data points themselves. The interpolation will give a… …   Wikipedia

  • Wilkinson's polynomial — In numerical analysis, Wilkinson s polynomial is a specific polynomial which was used by James H. Wilkinson in 1963 to illustrate a difficulty when finding the root of a polynomial: the location of the roots can be very sensitive to perturbations …   Wikipedia

  • Trigonometric interpolation — In mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which goes through some given data points. For trigonometric interpolation, this function has to be a… …   Wikipedia

  • Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …   Wikipedia

  • List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… …   Wikipedia


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