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6.253: Convex Analysis and Optimization
Homework 4
Prof. Dimitri P. Bertsekas
Spring 2010, M.I.T.
Problem 1
Let f : Rn 7! R be the function
n
f (x) =
1X
|xi |p
p
i=1
where 1 < p. Show that the conjuga
18.781 Problem Set 5
Thursday, April 5.
Collaboration is allowed and encouraged. However, your writeups should be your own, and you
must note on the front the names of the students you worked with.
Ex
6 856 Randomized Algorithms
David Karger
Handout #22, November 20, 2000 Homework 11, Due 11/27
12
M. R. refers to this text:
Motwani, Rajeez, and Prabhakar Raghavan. Randomized Algorithms. Cambridge:
6.253: Convex Analysis and Optimization
Homework 3
Prof. Dimitri P. Bertsekas
Spring 2010, M.I.T.
Problem 1
(a) Show that a nonpolyhedral closed convex cone need not be retractive, by using as an exam
2.094
FINITE ELEMENT ANALYSIS OF SOLIDS AND FLUIDS
SPRING 2008
Homework 2
Instructor:
Assigned:
Due:
Prof. K. J. Bathe
02/14/2008
02/21/2008
Problem 1 (20 points):
Consider the disk with a centerline