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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....
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This note was uploaded on 12/10/2011 for the course CSC 349 taught by Professor Oadje during the Spring '11 term at University of Victoria.
- Spring '11
- Computer Science