Lagrange polynomial - Wikipedia
https://en.wikipedia.org/wiki/Lagrange_polynomialLinear combinations of Lagrange basis functions are used to construct Lagrange interpolating polynomials. Lagrange basis functions are commonly used in finite element analysis as the bases for the element shape-functions. Furthermore, it is common to use a bi-unit domain as the natural space for the finite-element's definition.
Online calculator: The Newton Polynomial Interpolation
planetcalc.com › 9023This is more suitable for manual calculations because, for example, additional points in the Lagrange interpolation require all basis polynomials to be recalculated. Note that due to the polynomial interpolation's uniqueness, the Newton interpolation is the same as Lagrange interpolation. It is the same nth degree polynomial expressed in terms ...
Polynomial Interpolation: Lagrange Basis
www.webpages.ttu.edu › jengwer › notesPolynomial Interpolation: Lagrange Basis Josh Engwer Texas Tech University josh.engwer@ttu.edu August 15, 2011 DEFINITION: Given a table of points: x x 0 x 1 x 2 x 3 x 4 x n y y 0 y 1 y 2 y 3 y 4 y n there is a unique polynomial p(x) = Xn j=0 y j‘ j(x) = y 0‘ 0(x)+y 1‘ 1(x)+ +y n 1‘ n 1(x)+y n‘ n(x), where ‘ j(x) := Yn i=0;i6=j x x ...