hw3 - Homework 3 Math 471, Fall 2007 Assigned: Monday,...

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 3 Math 471, Fall 2007 Assigned: Monday, September 24, 2007 Due: Monday, October 1, 2007 Include a cover page Clearly label all plots using title , xlabel , ylabel , legend Use the subplot command to compare multiple plots Include printouts of all Matlab code, labeled with your name, date, section, etc. (1) (Newton versus Secant, p. 113, # 12) Newtons method approximates the zero of f ( x ) = x 3 + 2 x 2- 3 x- 1 on the interval (- 3 ,- 2) to within 9 . 436 10- 11 in 3 iterations and 6 function evaluations. How many iterations and how many function evaluations are needed by the secant method to approximate this zero to a similar accuracy ? Take p =- 2 aand p 1 =- 3. (2) (Finding Multiple Roots, p. 105 # 11; p. 125 # 14, # 15) (a) The function f ( x ) = 27 x 4 + 162 x 3- 180 x 2 + 62- 7 has a zero at x = 1 / 3. Perform ten iterations of Newtons method on this function, starting with p = 0. What is the apparent order of convergence of the sequence of approximations? What is thethe apparent order of convergence of the sequence of approximations?...
View Full Document

Page1 / 2

hw3 - Homework 3 Math 471, Fall 2007 Assigned: Monday,...

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