Andrew Eberhard

Professor Andrew Eberhard is Deputy Head – Department of Mathematical and Geospatial Sciences at RMIT University. He has served as the Deputy Director of the Austalian Institute of Mathematical Sciences (AMSI) and is currently serving on its board.  

Professor Eberhard is an expert in the study of convergence and the approximation of convex and other nonlinear functions. This includes the study of the effect that approximations have on the differential and duality properties of optimization problems based on these functions. He has a broad interest in optimization theory and algorithms working in both continuous, nonsmooth optimization as well as integer programming.

Professor Eberhard has applied theory that he has developed to many applications, including control theory, nonsmooth optimality conditions, the theory of viscosity solutions of elliptic partial differential equations and the theory of optimization algorithms of various types. He has also used these methods to study the best fit problem for utility functions based on observations of a consumer's revealed preferences. He has recently worked on the development of algorithms to solve stochastc optimization problems that include integer variables. 

He has experience in the application of duality theory to the reformulation and solution of optimization problems. Recently, these techniques have provided a theory to explain and improve the Feasibility Pump for Mixed Integer Programming and the provision of convergence analysis of progressive hedging for stochatic optimisation that include integer variables. Techniques for convex and functional analysis have also been exploited to great effect in obtaining qualitative and quantitative information for control design and signal processing problems. Professor Eberhard has an interest in monotone operator theory and convex analysis.


Accomplishments and achievements

• Invite speaker: Variational and nonsmooth Analysis 2-4 dec. 2024, The Hong Kong Polytechnic University 

• Invited Speaker; International Conference on Applied Mathematics 11-13 July 2024, Ho Chi Minh City, Vietnam

• Invited speaker, Australian-Chinese workshops on optimisation, Ballarat University, 2004, 2009, 2010 and 2013
• Program Leader, Platform Technologies Research Institute (Information and Networks), 2012 – present
• Plenary Speaker, ANZIAM, Warrnambool, Victoria, 2012
• Deputy Director, Australian Mathematical Sciences Institute, 2010–2012
• Visiting Professor, University of Perpignan, France, 2010
• Invited teacher AMSI Summer Schools, 2004 and 2006
• Visiting Professor, Dalhousie University, Halifax, Nova Scotia, Canada, 2005
• Visiting Professor, Blaise Pascal University, Clermont-Ferrand, France, 1999
• Invited speaker, "Nonlinear Dynamics and Optimization" session at the joint meeting of the American and Australian Mathematical Societies, Melbourne, 12–16 July 1999