LagrangePolynomials - Lagrange interpolating Polynomials...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lagrange interpolating Polynomials James Keesling 1 Determining the Coefficients of the Lagrange Interpolat- ing Polynomial by Linear Equations It is frequently the case that we will have certain data points, { ( x ,y ) , ( x 1 ,y 1 ) ,..., ( x n ,y n ) } , and will want to fit a curve through these points. In this chapter we will fit a polynomial of minimal degree through the points. We assume that the points { x ,x 1 ,...,x n } are all distinct. In that case we can fit a polynomial of degree n (or possibly less) through the points. If we write the polynomial in the following form, then we can use the points to determine the coefficients. L ( x ) = a + a 1 x + a 2 x 2 + + a n x n y = a + a 1 x + a 2 x 2 + a n x n y 1 = a + a 1 x 1 + a 2 x 2 1 + a n x n 1 . . . y n = a + a 1 x n + a 2 x 2 n + a n x n n We can solve these equations using matrices. The vector A = a a 1 ....
View Full Document

This note was uploaded on 07/14/2011 for the course MAC 3472 taught by Professor Jury during the Spring '07 term at University of Florida.

Page1 / 3

LagrangePolynomials - Lagrange interpolating Polynomials...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online