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Summary Of: Lagrange polynomial

The Lagrange polynomial is a solution to the interpolation problem...

Encyclodia Page On: Lagrange polynomial

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numerical analysis | Joseph Louis Lagrange | interpolation | polynomial | Edward Waring | Leonhard Euler | This image shows, for four points ((−9, 5), (−4, 2), (−1, −2), (7, 9)), the (cubic) interpolation polynomial L(x), which is the sum of the scaled basis polynomials y0l0(x), y1l1(x), y2l2(x) and y3l3(x). The interpolation polynomial passes through all four control points, and each scaled basis polynomial passes through its respective control point and is 0 where x corresponds to the other three control points. | linear combination | monomial basis | Vandermonde matrix | identity matrix | δi,j | The tangent function and its interpolant | | Newton polynomials | Gibbs phenomenon | Chebyshev nodes | numerical integration | Newton–Cotes formulas | Polynomial interpolation | Newton form | Bernstein form | Newton–Cotes formulas | Eric W. Weisstein | MathWorld | Oxford University | Lloyd N. Trefethen | SIAM | DOI | Lloyd N. Trefethen | Matlab | SIAM | DOI | Categories | Interpolation | Polynomials | Articles containing proofs |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Lagrange polynomial".