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Unformatted text preview: Homework 6 - Due Wed. Oct. 11th Math 224 - Fall 2011 Dr. Mauro Maggioni Office hours : Tue 4-5, in office 293 Physics Bldg. Phone : 660-2825 Web page : www.math.duke.edu/mauro E-mail : mauro.maggioni at duke.edu Homework policies : as in homework 1. All the materials (code, figures, etc...) have to be turned in (as printouts!) with your homework, or the homework will not be graded. Assignment Study Lectures 15,16 in the book. Exercises These exercises are taken/adapted from Heaths book Scientific Computing: 1 . Write a program to compute the absolute and relative errors in Stirlings approximation n ! 2 n ( n/e ) n for n = 1 , . . . , 10. Does the absolute error grow or shrink as n increases? Does the relative error grow or shrink as n increases? 2 . In most floating-point systems, a quick approximation to the unit roundoff can be obtained by evaluating the expression machine | 3 * (4 / 3- 1)- 1 | ....
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This note was uploaded on 01/16/2012 for the course MATH 224 taught by Professor Layton,a during the Fall '08 term at Duke.
- Fall '08