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CO463/663
Fall 2007
Convex Optimization and Analysis
"The great watershed in optimization is not between linearity and nonlinearity, but convexity and nonconvexity." (
Rockafellar, 1993
.)
Instructor
Henry Wolkowicz
(MC6065, x35589)
Events/News
Student Academic Discipline Policy
: Copying assignments is contrary to University policy. You must work on your assignments on your own. (Late assign. are not accepted.)
INCs are granted only with serious justification.
The smallest squared square
Time: 1:00-2:30PM, TTh
Location:
MC5045
Office Hours:
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FINAL EXAM: Wed. Dec. 5, MC 4064, 1-4PM.
Text:
(on 3 hour reserve UWDCO463/CO663; call number QA331.5 .B65 2006)
Convex Analysis and Nonlinear Optimization
, by
J.M. Borwein
, and
A.S. Lewis
, Vol. 3, 2000, CMS Books in Mathematics,
Springer Verlag
,
(extended edition 2006)
(
Please send me any
typos/comments
on the text!
)
Summary of Notation/Basic Results
Course Outline
; (Chapters 1,2,3,4, and 6.1-3, 7.1-2.)
Further References
Marking Scheme:
HW 50%; Final 50%;
Final exam from Fall 2002
HOMEWORK
:
Expect 4-5 assignments - to be submitted at the beginning of the class stated on the assignment.
HW0
;
HW1
;
HW2
;
HW3
;
HW4
;
Homework #0 (Preliminaries)
Due: Thursday, Sept. 13, 2007
Reading
For your interest only:
What is Optimization?
NEOS Guide Optimization Tree
Problems/Tasks
Download and install
cvx
. (We will experiment with this during the course to solve
Disciplined Convex Programming Problems
.)
Homework #1
Due: Thursday, Oct. 4, 2007 (at start of class, 1PM)
Reading
Text: Chapter 1 (pages 1-14) and Chapter 3, section 3.3 (on Fenchel conjugate)
Convex Functions Notes
Problems/Exercises
Problems
Assignment 1 problems pdf file
CVX Exercises
Try running the following examples from the CVX library of examples:
simple_LP.m
;
closest_toeplitz_psd.m
. (Do not hand in.)
Homework #2
Due: Tuesday, Oct. 23, 2007 (at start of class, 1PM)
Reading
Text: Related sections.
Convex Functions Notes
Problems/Exercises
Problems
Assignment 2 problems pdf file
Homework #3
Due: Thursday, Nov. 8, 2007 (at start of class, 1PM)
Reading
Text: Related sections.
Convex Functions Notes
Problems/Exercises
Problems
Assignment 3 problems pdf file
Homework #4
Due: Thursday, Nov. 29, 2007 (at start of class, 1PM)
Reading
Text: Related sections.
Convex Functions Notes
Problems/Exercises
Problems
Assignment 4 problems pdf file
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Last Modified: Wednesday 21 November 2007