hw3_solutions

hw3_solutions - MAE 107 Computational Methods in...

Info iconThis preview shows pages 1–3. 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: MAE 107 Computational Methods in Engineering Spring 2007 Homework #3 Solutions Problem 2: Problem 7.12 on page 184 of the textbook. As shown in section 7.2.1 in the textbook, the maximum error E n after n iterations is ) ( ) 2 ( n n x E ∆ − = φ In which ∆ x ( n ) is the length of the interval at the n th iteration. Since each iteration reduces the length of the interval by a factor of 1/ φ, the length of the interval at the n th iteration is given by n n x x φ ) ( ) ( ∆ = ∆ in which ∆ x (0) is the initial length of the search interval. If we want E n to be less than some specified error E , then from the previous two equations we must require φ φ φ φ log ) 2 ( log ) 2 ( ) ( ) ( ∆ − ≥ ⇒ ∆ − ≥ E x n x E n Below is a Matlab script that uses the Matlab function M-file goldmin_n.m to find the minimum of the function defined in example 7.2 in the text. Goldmin_n.m uses the golden section search to find the minimum of a function, using the...
View Full Document

This note was uploaded on 06/02/2008 for the course MAE 107 taught by Professor Rottman during the Spring '08 term at UCSD.

Page1 / 4

hw3_solutions - MAE 107 Computational Methods in...

This preview shows document pages 1 - 3. Sign up to view the full document.

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