Problem Set 4: Iterative Methods (+ experiments in Span and Basis)
 Due Nov 2, 2016 by 5pm
 Points 8
 Submitting a file upload
 File Types pdf
 Available after Oct 26, 2016 at 6:30pm
This assignment has coding (32 pts) and written (8 pts) parts. Upload written parts as a pdf here. Submit your code to scorelator.
Quiz 3 will ask questions about this assignment. You may want to start Quiz 3 while you work through the assignment.
Here is the problem set: ProblemSet42.pdf (Updated 10/28/2016 2:35pm) and you will also need this script, script_for_iteration.m , and function file, fixed_point_iteration.m, and an example function file for you g1(x) function: gfunc1.m.
There is no coding tutorial for this problem set, but I made a video tutorial on fixed point iteration last quarter: Fixed Point Iteration video Please use office hours or the Discussion board if you need help : Discussion Module 4: (PS4) Iterative methods for nonlinear equations and systems of linear equations.
Clarifications:
The error vectors for 1.3 and 1.4 should be row vectors.
Corrections:
Problem 1.4d. The original h4(x)=x was not equivalent to f2(x)= 0. The correct equation is ${h}_{4}(x)={\left(\frac{10}{4+x}\right)}^{(1/2)}$
Rubric
Criteria  Ratings  Pts  

All 8 plots included in solution
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Identified 1.3 a converges, 1.3 b does not converge, 1.4 a does not converge, 1.4 d converges
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Explained converges/divergence
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Total Points:
8.0
out of 8.0
