hw1 - Homework 1 Foundations of Computational Math 2 Spring...

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: Homework 1 Foundations of Computational Math 2 Spring 2011 Solutions will be posted Monday, 1/17/11 Written homework problems are study questions. You need not turn in solutions but you are strongly encouraged to do the problems and read the posted solutions carefully. Problem 1.1 Consider the data points ( x, y ) = { (0 , 2) , (0 . 5 , 5) , (1 , 8) } Write the interpolating polynomial in both Lagrange and Newton form for the given data. Problem 1.2 Use this divided difference table for this problem. Justify all of your answers. i 1 2 3 4 5 x i − 1 2 4 5 6 f i 13 2 − 14 18 67 91 f [ − , − ] − 11 − 8 16 49 24 f [ − , − , − ] 1 6 11 − 25 / 2 f [ − , − , − , − ] 1 1 − 47 / 8 f [ − , − , − , − , − ] − 55 / 48 f [ − , − , − , − , − , − ] − 55 / 336 1.2.a Use the divided difference information about the unknown function f ( x ) and consider the unique polynomial, denoted p 1 , 5 ( x ), that interpolates the data given by pairs ( x 1 , f...
View Full Document

This note was uploaded on 11/10/2011 for the course MAD 5404 taught by Professor Gallivan during the Spring '11 term at FSU.

Page1 / 2

hw1 - Homework 1 Foundations of Computational Math 2 Spring...

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