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Course Info

  • Course Number / Code:
  • 6.972 (Spring 2006) 
  • Course Title:
  • Algebraic Techniques and Semidefinite Optimization 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Electrical Engineering and Computer Science 
  • Course Instructor(s):
  • Prof. Pablo Parrilo 
  • Course Introduction:
  •  


  • 6.972 Algebraic Techniques and Semidefinite Optimization



    Spring 2006




    Course Highlights


    This course features an extensive set of lecture notes and readings. Homework assignments are also available.


    Course Description


    This research-oriented course will focus on algebraic and computational techniques for optimization problems involving polynomial equations and inequalities with particular emphasis on the connections with semidefinite optimization. The course will develop in a parallel fashion several algebraic and numerical approaches to polynomial systems, with a view towards methods that simultaneously incorporate both elements. We will study both the complex and real cases, developing techniques of general applicability, and stressing convexity-based ideas, complexity results, and efficient implementations. Although we will use examples from several engineering areas, particular emphasis will be given to those arising from systems and control applications.
     

ACKNOWLEDGEMENT:
This course content is a redistribution of MIT Open Courses. Access to the course materials is free to all users.






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