A general cone decomposition theory based on efficiency
- Cite this article as:
- Martínez-Legaz, J.E. & Seeger, A. Mathematical Programming (1994) 65: 1. doi:10.1007/BF01581687
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LetK1 andK2 be two convex cones in some common vector space. This paper is concerned with the question of finding a ‘good’ decomposition, with respect toK1 andK2, of a given element of the Minkowski sumK1 +K2. We propose the criterion of efficiency as a measure for the quality of a decomposition. This criterion allows us to set up a framework from which a general cone decomposition theory is then derived.