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ELEC70098 Optimisation

Lecturer(s): Prof Alessandro Astolfi


The aim of this module is to equip you with the tools to formulate and solve general constrained and unconstrained optimisation problems. The module covers several introductory topics in optimisation such as necessary and sufficient conditions of optimality, basic optimization algorithms (gradient, Newton, conjugate directions, quasi-Newton), Kuhn-Tucker conditions, penalty method, recursive quadratic programming, and global optimization. Each topic is covered in a mathematical rigorous way with attention to regularity, convergence conditions, and complexity. The module assumes prior basic calculus and linear algebra knowledge such as multivariable calculus, sequences, compactness, and eigenvalues.

Learning Outcomes

Upon successful completion of this module, you will be able to: Formulate simple unconstrained and constrained optimization problems Classify optimal solutions Apply the correct methods to solve such problems Write basic unconstrained optimization algorithms and assess their convergence and numerical properties Apply the notion of penalty in the solution of constrained optimization problems Change constrained optimization problems into equivalent unconstrained problems Apply basic algorithms for the solutions of global optimization problems


Necessary and sufficient conditions of optimality Line search The gradient method, Newton's method, conjugate direction methods, quasi-Newton methods, methods without derivatives Kuhn-Tucker conditions Penalty function methods Exact methods Recursive quadratic programming Global optimization
Exam Duration: 3:00hrs
Exam contribution: 100%
Coursework contribution: 0%

Term: Autumn

Closed or Open Book (end of year exam): Open

Coursework Requirement:
         To be announced

Oral Exam Required (as final assessment): N/A

Prerequisite module(s): None required

Course Homepage:

Book List:
Please see Module Reading list