Lagrange polynomial
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In numerical analysis, Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points <math>x_j</math> and numbers <math>y_j</math>, the Lagrange polynomial is the polynomial of the least degree that at each point <math>x_j</math> assumes the corresponding value <math>y_j</math> (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, it was first discovered in 1779 by Edward Waring and rediscovered in 1783 by Leonhard Euler.
- See also: Wikipedia
| ALGLIB ALGLIB www.alglib.net/interpolation/polynomial.php - Web |
| GSL GSL www.gnu.org/software/gsl/ - Web |
| Lagrange Method of Interpolation — Notes, PP... Lagrange Method of Interpolation — Notes, PPT, Mathcad, Mathematica, MATLAB, Maple numericalmethods.eng.usf.edu/topics/lagrange_method.html - Web |
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| Lagrange interpolation polynomial Lagrange interpolation polynomial www.math-linux.com/spip.php?article71 - Web |
| Estimate of the error in Lagrange Polynomial Appro... Estimate of the error in Lagrange Polynomial Approximation www.proofwiki.org/wiki/Lagrange_Polynomial_Approximation - Web |
| Module for Lagrange Polynomials by John H. Mathews Module for Lagrange Polynomials by John H. Mathews math.fullerton.edu/mathews/n2003/LagrangePolyMod.html - Web |
| Dynamic Lagrange interpolation with JSXGraph Dynamic Lagrange interpolation with JSXGraph jsxgraph.uni-bayreuth.de/wiki/index.php/Lagrange_interpolation - Web |
