Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
Optimization hinders evolution!
ME256 Variational Methods and Structural Optimization Jan.-May., 2016
Instructor: G. K. Ananthasuresh , Room 106, ME Building, suresh at mecheng.iisc.ernet.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM; Venue: ME Lecture Hall

Homework #1
Assigned: Jan. 5th, 2015
Due: Jan. 14th, 2015
Points: 50
Additional points for work that is beyond instructor's expectation!
Look up Homework #1 of 2010 offering of this course and the solution posted there to know what is meant by "beyond instructor's expectation".

1. 20 points
   Consider the optimization problem:
   Solve it graphically (2D plot), analytically (KKT conditions), and numerically (using fmincon in Matlab). Verify the sufficiency of your solution.
2. 10 points
   Is there a solution if you change n = 2? If so, show that solution graphically; if not, argue why not.
3. 20 points
   If you are allowed to change d, D, and n, can you find a data set that has a minimum for the aforementioned problem but the minimum does not satisfy "constraint qualification" condition? Provide enough details to support your answer.