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A Finite Step Projective Algorithm for Solving Linear Matrix Inequalities

Orsi, Robert; Rami, Mustapha; Moore, John


This paper presents an algorithm for finding feasible solutions of linear matrix inequalities. The algorithm is based on the method of alternating projections (MAP), a classical method for solving convex feasibility problems. Unlike MAP, which is an iterative method that converges asymptotically to a feasible point, the algorithm converges after a finite number of steps. The key computational component of the algorithm is an eigenvalue-eigenvector decomposition which is carried out at each...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Conference paper
Source: Proceedings of the 42nd IEEE Conference on Decision and Control


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