An interior-point method for a class of saddle-point problems

An interior-point method for a class of saddle-point problems

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Article ID: iaor20033001
Country: Netherlands
Volume: 116
Issue: 3
Start Page Number: 559
End Page Number: 590
Publication Date: Mar 2003
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: portfolio management, saddle points
Abstract:

We present a polynomial-time interior-point algorithm for a class of nonlinear saddle-point problems that involve semidefiniteness constraints on matrix variables. These problems originate from robust optimization formulations of convex quadratic programming problems with uncertain input parameters. As an application of our approach, we discuss a robust formulation of the Markowitz portfolio selection model.

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