Vandermonde interpolation approach

The Vandermonde approach for interpolationMathworldPlanetmath is when we wish to determine the interpolating polynomial p(x)=a0+a1x+a2x2++anxn for the n+1 points (xi,yi), i=0,1,,n by forming the equations yi=a0+a1xi+a2x22++anxnn for i=0,1,,n, and solving for the unknown coefficients a0,a1,,an.

The system of equations can be written by using matrices Y=XA where X is a Vandermonde matrixMathworldPlanetmath.

Title Vandermonde interpolation approach
Canonical name VandermondeInterpolationApproach
Date of creation 2013-03-22 14:19:56
Last modified on 2013-03-22 14:19:56
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 8
Author mathcam (2727)
Entry type Definition
Classification msc 65D05
Classification msc 41A05