EE103 HW6 Spring 2009, Prof S.E. Jacobsen
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EE103 Applied Numerical Computing, Spring 2009
HW 6
Due: 06/05/2009 (At SEJ’s office, 6288 BH, between 3:00pm and 5:00pm)
Your HW answers must contain your ID, Last Name, First Name, and the number of the
Discussion Section in which you are enrolled (by the way, you’re free to attend other
Sections as well).
Class:
The purpose of HWs is absolutely NOT for the mere assignment of grades.
The
purpose of HW assignments is to engage the student in the process of learning the material
of the course and the material that the instructor believes to be instructive.
As such, your
work must be your own and reflect your effort in the learning process.
As a result, you are not to consult the notes, HWs, HW solutions, etc., of other courses or
past offerings of this course.
Of course, you may discuss the material of this course with
other students of this class; however, your work must be your own.
A violation of these
requirements is an act of academic dishonesty.
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All work that involves Matlab programming and output must be submitted, hard copy,
using Matlab’s “diary” command (e.g., “diary myproblem.txt”).
Matlab’s “edit”, or any
other text editor, should be used to include your name, ID, Problem number, comments,
etc.
Several home work problems during this course are of a “tutorial” nature.
That is,
generally you will be instructed how to do some task, and then you will be asked to draw
some conclusions from the work that you’ve completed.
Prob 1 (Tutorial: Continuation of HW5, Probs 4,5):
The least squares problem, corresponding to HW5 Prob 4c, is
2
11
1
22
1
2
12
,
min
( ) ( )
min
(
)
m
T
k
x
k
k
xu
xx
f xfx
xe
v
(6.1)
Based upon your results for HW5 Probs 4,5, both the Gauss-Newton method, and the Newton
Method (for optimization) may, in principle, be used to attempt to solve (6.1).