This preview shows page 1. Sign up to view the full content.
Unformatted text preview: z lies outside of the interval containing all of the values x i and if ) ( z P is computed as an approximation to ) ( z f , then this approximation to ) ( z f is said to be determined by polynomial extrapolation . Note that an interpolating polynomial and the Taylor polynomial both determine polynomial approximations to ) ( x f . However, in general they are very different approximations to ) ( x f . Note that an interpolating polynomial uses the information ) ( , ), ( ), ( 1 1 n n x f y x f y x f y = = = K to determine the polynomial approximation, whereas the Taylor polynomial uses the information ) ( , ), ( ), ( ) ( x f x f x f n K to determine the polynomial approximation....
View
Full
Document
This note was uploaded on 02/08/2010 for the course CSC 349A taught by Professor Olesky during the Spring '08 term at University of Victoria.
 Spring '08
 Olesky
 Computer Science

Click to edit the document details